Common Multiples
Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers.
A number that is a multiple of two or more numbers is called common multiple those numbers.
For Example:
Let us try to find out the multiples of 8 and 12.
Multiples of 8 are 8, 16, 24, 32, 40, 48............
Multiples of 12 are 12, 24, 36, 48, 60, 72..........
Thus, common multiples of 8 and 12 are 24, 48, ...........
Consider the following.
(i) Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, …………etc.
Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, …………… etc.
Therefore, common multiples of 3 and 4 = 12, 24, ………..etc.
[It can easily be seen that each of the common multiples 12, 24, etc., is exactly divisible by both 3 and 4].
(ii) Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ………… etc.
Multiples of 5 are: 5, 10, 15, 20, 25, ………… etc.
Therefore, common multiples of 2 and 5 = 10, 20, ………..etc.
[It can easily be seen that each of the common multiples 10, 20, etc., is exactly divisible by both 2 and 5].
(iii) Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ……etc.
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, ………… etc.
Multiples of 6 are = 6, 12, 18, 24, …………… etc.
Therefore, common multiples of 2, 3 and 6 = 6, 12, 18, 24, ………..etc.
[It can easily be seen that each of the common multiples 6, 12, 18, 24, etc., is exactly divisible by all three numbers 2, 3 and 6].
Worksheet on Common Multiples:
I. Find the common multiple of:
(i) 3 and 4
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ………….
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 ………….
The common multiples of 3 and 4 are 12, 24, 36 ………….
(ii) 2 and 3
2 =
3 =
The common multiples of 2 and 3 are __________
(iii) 4 and 6
4 =
6 =
The common multiples of 4 and 6 are __________
(iv) 5 and 10
5 =
10 =
The common multiples of 5 and 10 are __________
(v) 7 and 8
7 =
8 =
The common multiples of 7 and 8 are __________
Answers:
I. (ii) 6, 12, 18, ……….
(iii) 12, 24, 36, ………..
(iv) 10, 20, 30, …………
(v) 56, 112, ………….
II. Find:
(i) the first two common multiples of 3 and 5.
(ii) the first three common multiples of 5 and 8.
(iii) the first two common multiples of 5 and 10.
(iv) the first five common multiples of 2, 4 and 6.
II. (i) 15, 30
(ii) 40, 80, 120
(iii) 10, 20
(iv) 6, 12, 18, 24, 36
You might like these
Worksheet on H.C.F. and L.C.M. | H.C.F. by Long Division Method | Ans
We will solve different types of problems given in the Worksheet on H.C.F. and L.C.M. I. Find highest common factor of the following by complete factorisation: (i) 48, 56, 72 (ii) 198, 360 (iii) 102, 68, 136 (iv) 1024, 576 (v) 405, 783, 513
Addition of Integers | Adding Integers on a Number Line | Examples
We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4 we move 4 steps to the right of +2. Thus, +2 +4 = +6.
Rules to Add Integers | Rules For Addition of Integers | Examples |
The rules to add integers are as follows: Rule 1: When the two integers have the positive sign, add the integers and assign the (+) sign to the sum.
What are integers? | Negative and Positive Integers | Natural Numbers
What are integers? The negative numbers, zero and the natural numbers together are called integers. A collection of numbers which is written as …….. -4, -3, -2, -1, 0, 1, 2, 3, 4……… . These numbers are called integers.
Divisibility Rules | Divisibility Test|Divisibility Rules From 2 to 18
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules
While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is
Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules
While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the tens place is replaced by ‘0’ and the hundreds place is increased by 1.
Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule
Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number may be rounded off to the nearest 10. Rules for Rounding off to Nearest 10
Rounding Numbers | How do you Round Numbers?|Nearest Hundred, Thousand
Rounding numbers is required when we deal with large numbers, for example, suppose the population of a district is 5834237, it is difficult to remember the seven digits and their order
Word Problems on Multiplication and Division of Whole Numbers |Example
We will learn how to solve step-by-step the word problems on multiplication and division of whole numbers. We know, we need to do multiplication and division in our daily life. Let us solve some word problem examples.
Common Factors | Find the Common Factor | Worksheet | Answer
Common factors of two or more numbers are a number which divides each of the given numbers exactly. For examples 1. Find the common factor of 6 and 8. Factor of 6 = 1, 2, 3 and 6. Factor
Properties of Division | Division of Property Overview|Math Properties
The properties of division are discussed here: 1. If we divide a number by 1 the quotient is the number itself. In other words, when any number is divided by 1, we always get the number itself as the quotient. For example: (i) 7542 ÷ 1 = 7542 (ii) 372 ÷ 1 = 372
Multiplication by Ten, Hundred and Thousand |Multiply by 10, 100 &1000
To multiply a number by 10, 100, or 1000 we need to count the number of zeroes in the multiplier and write the same number of zeroes to the right of the multiplicand. Rules for the multiplication by 10, 100 and 1000: If we multiply a whole number by a 10, then we write one
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 Common Multiples 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
-
Word Problems on Area and Perimeter | Free Worksheet with Answers
Jul 26, 24 04:58 PM
word problems on area and perimeter -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 26, 24 04:37 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Perimeter and Area of Irregular Figures | Solved Example Problems
Jul 26, 24 02:20 PM
Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d… -
Perimeter and Area of Plane Figures | Definition of Perimeter and Area
Jul 26, 24 11:50 AM
A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles… -
5th Grade Math Problems | Table of Contents | Worksheets |Free Answers
Jul 26, 24 01:35 AM
In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…
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.