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 step-by-step explanation on how to calculate the highest common factor and the least common multiple of decimals.

Worked-out 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

Now, H.C.F. of 120 and 2250 = 2 × 3 × 5 = 30

L.C.M. of 120 and 2250 = 2

**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

Now, H.C.F. of 480, 720 and 108 = 2

L.C.M. of 480, 720 and 108 = 2

**3. **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

Now, H.C.F. of 60, 150, 18 and 360 = 2 × 3 = 6

L.C.M. of 60, 150, 18 and 360 = 2

● **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**

**From H.C.F. and L.C.M. of Decimals 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.**

## 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.