Worksheet on Word Problems on H.C.F. and L.C.M.
In worksheet on word problems on H.C.F. and L.C.M. we will find the greatest common factor of two or more numbers and the least common multiple of two or more numbers and their word problems.
I. Find the highest common factor and least common multiple of the following pairs of numbers:
(i) 576 and 1440
(ii) 625 and 325
(iii) 496 and 1116
(iv) 1000 and 1125
(v) 676 and 650
II. Word problems on highest
common factor (H.C.F.) and lowest common multiple (L.C.M.):
(i) The product of two numbers is 120. If their H.C.F. is 6 what is their L.C.M.
(ii) Find the smallest number which, on being added 23 to it, is exactly divisible by 32, 36, 48 and 96.
(iii) Find the least length of a rope which can be cut into whole number of pieces of lengths 45 cm, 75 cm and 81 cm.
(iv) Find the greatest number of 4-digits which is exactly divisible by 40, 48 and 60.
(v) What is the least number of saplings that can be arranged in rows of 12, 15 or 40 in each row?
(vi) 210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
(vii) A certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student left behind. Find the number of students.
(viii) The local bus service has 2 lines of buses that start together at 8 a.m. Buses on line A leave after every 15 minutes while Buses on line B leave after every 20 minutes. In a day, how many times do buses on both line A and B leave together between 8 a.m. and 11 a.m.
(ix) Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?
(x) Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th day. How many times will they meet in the mall in the month of December and January if we start counting from 1st December?
(xi) The HCF of two numbers is 6, if one of the numbers is 42, find the other number?
(xii) Find the greatest number of 5-digits which on being divided by 9, 12, 24 and 45 leaves 3, 6, 18 and 39 as remainders respectively.
(xiii) The length, breadth, height of a room are 6 m 80 cm, 5 m 10 cm and 3 m 40 cm respectively. Find the longest tape which can measure the dimensions of the room exactly.
(xiv) Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. On which of the steps will both meet if both start jumping together?
(xv) Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?
(xvi) Find a multiple of 70 which is between 200 and 600 which has odd digits at tens and hundreds place.
(xvii) Find a multiple of 120 which lies between 400 and 500 where the digit at tens place is double the digit at hundreds place.
(xviii) Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.
(xix) Three bells ring at intervals of 8, 15 and 16 seconds respectively. At what time will they ring together if they start ringing at 10 a.m?
(xx) Find the largest number which divides 1131, 1218 and 1389 leaving remainders 6, 3 and 9 respectively.
(xxi) Find the largest number which is the factor of 2075, 3320 and 4565.
(xxii) Find the least 5-digit number which leaves remainder 2 in each case when divided by 3, 6, 9, 12, 15, 18 and 27.
(xxiii) Find the least natural number which when divided by 16, 36 and 90 leaves a remainder 13.
(xxiv) Find the number nearest to 999 but greater than 999, which is exactly divisible by 6, 12 and 18.
(xxv) Find the largest number that will divide 168, 234 and 366 leaving a remainder 3 in each case.
(xxvi) Find the number nearest to 1000 but greater than 1000, which is exactly divisible by 15, 20 and 25.
(xxvii) Find the greatest 4-digit number which when divided by 18, 24, 30 and 36 leaves a remainder 15 in each case.
(xxviii) Find the least natural number which when divided by 688 and 1248 leaves a remainder 2.
(xxix) Find the largest number which divides 2039, 2499 and 2957 leaving remainders 5, 13 and 19 respectively.
(xxx) Find the largest number which divides 42 and 96 leaving remainders 3 and 5 respectively.
(xxxi) Find the largest number which when divided by 3124 and 4099 leaves a remainder 4 in each case.
Answers for the worksheet on H.C.F. and L.C.M. are given below.
Answers:
I. (i) 288; 2880
(ii) 25; 8125
(iii) 124; 4464
(iv) 135; 9000
(v) 26; 16900
II. (i) 20
(ii) 265
(iii) 2025 cm
(iv) 9840
(v) 120
(vi) 42
(vii) 24
(viii) 3
(ix) 150, 165, 180, 195
(x) 1
(xi) 90
(xii) 99714
(xiii) 1 m 70 cm
(xiv) 20
(xv) 6
(xvi) 350
(xvii) 480
(xviii) 4
(xix) 10:04 a.m.
(xx) 15
(xxi) 415
(xxii) 10262
(xxiii) 733
(xxiv) 1008
(xxv) 33
(xxvi) 1200
(xxvii) 9735
(xxviii) 53666
(xxix) 226
(xxx) 13
(xxxi) 195
You might like these
Even and Odd Numbers Between 1 and 100 | Even and Odd Numbers|Examples
All the even and odd numbers between 1 and 100 are discussed here. What are the even numbers from 1 to 100? The even numbers from 1 to 100 are:
5th Grade Factors and Multiples Worksheets | L.C.M. | H.C.F. | Answers
In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word
Worksheet on Divisibility Rules | Questions on Test of Divisibility
Worksheet on divisibility rules will help us to practice different types of questions on test of divisibility by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11. We need to use the divisibility rules to find whether the given number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.
Word Problems on H.C.F. and L.C.M. | Least Common Multiple | GCF Math
Here we will get the idea how to solve the word problems on H.C.F and L.C.M. 1. Find the smallest number which on adding 19 to it is exactly divisible by 28, 36 and 45. First we find the least
Relationship between H.C.F. and L.C.M. |Highest Common Factor|Examples
The product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers i.e., H.C.F. × L.C.M. = First number × Second number or, LCM × HCF = Product of two given numbers
Worksheet on L.C.M. | Least Common Multiple Worksheets |LCM Worksheets
Practice the questions given in the worksheet on l.c.m. to find the least common multiple by listing their multiples, by common prime factors and by division method. I. Find the L.C.M. of the following by listing their multiples. (i) 5, 10, 15 (ii) 4, 10, 12 (iii) 3, 9, 12
Least Common Multiple |Lowest Common Multiple|Smallest Common Multiple
The least common multiple (L.C.M.) of two or more numbers is the smallest number which can be exactly divided by each of the given number. The lowest common multiple or LCM of two or more numbers is the smallest of all common multiples.
Multiples | Multiples of a Number |Common Multiple|First Ten Multiples
What are multiples? ‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’ We know that when two numbers are multiplied the result is called the product or the multiple of given numbers.
Worksheet on H.C.F. | Word Problems on H.C.F. | H.C.F. Worksheet | Ans
Practice the questions given in the worksheet on hcf (highest common factor) by factorization method, prime factorization method and division method. Find the common factors of the following numbers. (i) 6 and 8 (ii) 9 and 15 (iii) 16 and 18 (iv) 16 and 28
Highest Common Factor |Find the Highest Common Factor (H.C.F)|Examples
Highest common factor (H.C.F) of two or more numbers is the greatest number which divides each of them exactly. Now we will learn about the method of finding highest common factor (H.C.F). Steps 1: Find all the factors of each given number. Step 2: Find common factors of the
Worksheet on Methods of Prime Factorization |Prime Factors by Division
Practice the questions given in the worksheet on methods of prime factorization. 1. Each of the following is the prime factorization of a certain number. Find the number. (i) 2 × 5 × 7
Prime Factorisation |Complete Factorisation |Tree Factorisation Method
Prime factorisation or complete factorisation of the given number is to express a given number as a product of prime factor. When a number is expressed as the product of its prime factors, it is called prime factorization. For example, 6 = 2 × 3. So 2 and 3 are prime factors
Divisible by 9 | Test of Divisibility by 9 |Rules of Divisibility by 9
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
Divisible by 11|Test of Divisibility of 11|Rules of Divisibility by 11
A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places difference is a multiple of 11 or zero. To check whether a number is divisible by 11, we find the sum of the digits in the even places and the odd places
Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10
Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:
Common Multiples.
Least Common Multiple (L.C.M).
To find Least Common Multiple by using Prime Factorization Method.
Examples to find Least Common Multiple by using Prime Factorization Method.
To Find Lowest Common Multiple by using Division Method
Examples to find Least Common Multiple of two numbers by using Division Method
Examples to find Least Common Multiple of three numbers by using Division Method
Relationship between H.C.F. and L.C.M.
Worksheet on H.C.F. and L.C.M.
Word problems on H.C.F. and L.C.M.
Worksheet on word problems on H.C.F. and L.C.M.
5th Grade Math Problems
From Worksheet on word problems on H.C.F. and L.C.M. to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 11, 24 09:08 AM
2nd grade geometry worksheet -
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver… -
Points and Line Segment | Two Points in a Curved Surface | Curve Line
Dec 09, 24 01:08 AM
We will discuss here about points and line segment. We know when two lines meet we get a point. When two points on a plane surface are joined, a straight line segment is obtained. -
Solid Shapes | Basic Geometric Shapes | Common Solid Figures | Plane
Dec 08, 24 11:19 PM
We will discuss about basic solid shapes. We see a variety of solid objects in our surroundings. Solid objects have one or more shapes like the following. Match the objects with similar shape. -
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Dec 07, 24 03:38 PM
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.