Least Common Multiple of 31/252, 54/118, 731/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/252, 54/118, 731/762 quickly i.e. 611847 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/252, 54/118, 731/762 is 611847.

LCM(31/252, 54/118, 731/762) = 611847

LCM of 31/252, 54/118, 731/762

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 31/252,54/118,731/762

Given numbers are 31/252,54/118,731/762

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 31,54,731

Least Common Multiple of Numerators i.e. LCM of 31,54,731 is 1223694.

GCF of Denominators means GCF of 252,118,762 as per the given fractions.

GCF of 252,118,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,54,731

LCM of Fractions 31/252,54/118,731/762 is 611847

Given numbers has no common factors except 1. So, there LCM is their product i.e 1223694

Least Common Multiple of 31,54,731 with GCF Formula

Least Common Multiple of 31,54,731 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,54,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,54,731) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,54,731) x common factors =1 x 1 = 1

LCM(31,54,731) = ( 31 × 54 × 731 ) / 1

LCM(31,54,731) = 1223694 / 1

LCM(31,54,731) = 1223694


Lets's calculate GCF of 252,118,762

2 252, 118, 762
126, 59, 381

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1223694/2

Therefore the LCM of Fractions 31/252,54/118,731/762 is 611847

Greatest Common Factor of 252,118,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,118,762 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 252,118,762 . The biggest common factor number is the GCF number.
So the greatest common factor 252,118,762 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 31/252, 54/118, 731/762

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 31/252, 54/118, 731/762?

Answer: LCM of Numerators as per given numbers 31/252, 54/118, 731/762 is

LCM of Numerators i.e. for 31,54,731 is 1223694

GCF of denominators i.e. for 252,118,762 is 2.

Thus, LCM of Fractions is 611847.Finally, LCM of Fractions for 31/252, 54/118, 731/762 is 611847.