 # HCF and LCM of Fractions Calculator

To use HCF and LCM of fractions calculator, enter comma-separated fractions, and hit the calculate button

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## HCF and LCM of Fractions Calculator

This calculator finds the LCM of fractions and the LCM of fractions with a single click. This calculator works as HCF  of fractions calculator as well as LCM of fractions calculator.

## What are the HCF and LCM of fractions?

HCF and LCM of fractions is a way of calculating the highest common factor and lowest common multiple of a list of fractions. Convert the fractions to their simplest form. This involves canceling out any common factors in the numerator and denominator.

To calculate the HCF of a set of fractions, find the HCF of the numerators and the HCF of the denominators. To calculate the LCM of a set of fractions, find the LCM of the denominators and multiply each numerator by the appropriate factor to make the denominators equal to the LCM.

## How to find LCM and HCF of Fractions?

Follow the below examples to learn how to find the LCM and HCF of fractions.

Example 1:

Evaluate the LCM of Fractions for 1/2,3/4,2/3.

Solution:

Step 1:

LCM of Fraction = LCM of Numerators/HCF of Denominators

Now see the LCM of the Numerator part which is 1,3,2

LCM of the Numerator is 6

Step 2:

Secondly, now find the HCF of the denominator part

HCF of 2,4,3 is 1

Hence, LCM of Fractions = 6/1

Example 2:

Evaluate the HCF of Fractions for 3/2,1/5,2/7.

Solution:

Step 1:

HCF of Fraction = HCF of Numerators/LCM of Denominators

Now see the HCF of the Numerator part which is 3,1,2

The Highest Common Factor (HCF) of the Numerator is 1

Step 2:

Secondly, now find the LCM of the denominator part

LCM of 2,5,7 is 70

Hence, HCF of Fractions = 1/70

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