Steps to solve H.C.F. and L.C.M. of decimals:
Step I: Convert each of the decimals to like decimals.
Step II: Remove the decimal point and find the highest common factor and least common multiple as usual.
Step III: In the answer (highest common factor /least common multiple), put the decimal point as there are a number of decimal places in the like decimals.
Now we will follow the stepbystep explanation on how to calculate the highest common factor and the least common multiple of decimals.
Workedout examples on H.C.F. and L.C.M. of decimals:
1. Find the H.C.F. and the L.C.M. of 1.20 and 22.5
Solution:
Given, 1.20 and 22.5
Converting each of the following decimals into like decimals we get;
1.20 and 22.50
Now, expressing each of the numbers without the decimals as the product of primes we get
120 = 2 × 2 × 2 × 3 × 5 = 2^{3} × 3 × 5
2. Find the H.C.F. and the L.C.M. of 0.48, 0.72 and 0.108
Solution:
Given, 0.48, 0.72 and 0.108
Converting each of the following decimals into like decimals we get;
0.480, 0.720 and 0.108
Now, expressing each of the numbers without the decimals as the product of primes we get
480 = 2 × 2 × 2 × 2 × 2 × 3 × 5 = 2^{5} × 3 × 53. Find the H.C.F. and the L.C.M. of 0.6, 1.5, 0.18 and 3.6
Solution:
Given, 0.6, 1.5, 0.18 and 3.6
Converting each of the following decimals into like decimals we get;
0.60, 1.50, 0.18 and 3.60
Now, expressing each of the numbers without the decimals as the product of primes we get
60 = 2 × 2 × 3 × 5 = 2^{2} × 3 × 5● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules  Involving Decimals
● PEMDAS Rules  Involving Integers
● PEMDAS Rules  Involving Decimals
● BODMAS Rules  Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
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