Least Common Multiple of 56/87, 79/52, 83/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/87, 79/52, 83/131 quickly i.e. 367192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/87, 79/52, 83/131 is 367192.

LCM(56/87, 79/52, 83/131) = 367192

LCM of 56/87, 79/52, 83/131

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 56/87,79/52,83/131

Given numbers are 56/87,79/52,83/131

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 56,79,83

Least Common Multiple of Numerators i.e. LCM of 56,79,83 is 367192.

GCF of Denominators means GCF of 87,52,131 as per the given fractions.

GCF of 87,52,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,79,83

LCM of Fractions 56/87,79/52,83/131 is 367192

Given numbers has no common factors except 1. So, there LCM is their product i.e 367192

Least Common Multiple of 56,79,83 with GCF Formula

Least Common Multiple of 56,79,83 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 56,79,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,79,83) = 1

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

GCF(56,79,83) x common factors =1 x 1 = 1

LCM(56,79,83) = ( 56 × 79 × 83 ) / 1

LCM(56,79,83) = 367192 / 1

LCM(56,79,83) = 367192


Lets's calculate GCF of 87,52,131

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367192/1

Therefore the LCM of Fractions 56/87,79/52,83/131 is 367192

Greatest Common Factor of 87,52,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,52,131 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 87,52,131 . The biggest common factor number is the GCF number.
So the greatest common factor 87,52,131 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 56/87, 79/52, 83/131

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 56/87, 79/52, 83/131?

Answer: LCM of Numerators as per given numbers 56/87, 79/52, 83/131 is

LCM of Numerators i.e. for 56,79,83 is 367192

GCF of denominators i.e. for 87,52,131 is 1.

Thus, LCM of Fractions is 367192.Finally, LCM of Fractions for 56/87, 79/52, 83/131 is 367192.