Least Common Multiple of 31/376, 57/904, 136/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/376, 57/904, 136/540 quickly i.e. 60078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/376, 57/904, 136/540 is 60078.

LCM(31/376, 57/904, 136/540) = 60078

LCM of 31/376, 57/904, 136/540

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 31/376,57/904,136/540

Given numbers are 31/376,57/904,136/540

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 31,57,136

Least Common Multiple of Numerators i.e. LCM of 31,57,136 is 240312.

GCF of Denominators means GCF of 376,904,540 as per the given fractions.

GCF of 376,904,540 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,57,136

LCM of Fractions 31/376,57/904,136/540 is 60078

Given numbers has no common factors except 1. So, there LCM is their product i.e 240312

Least Common Multiple of 31,57,136 with GCF Formula

Least Common Multiple of 31,57,136 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 31,57,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,57,136) = 1

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

GCF(31,57,136) x common factors =1 x 1 = 1

LCM(31,57,136) = ( 31 × 57 × 136 ) / 1

LCM(31,57,136) = 240312 / 1

LCM(31,57,136) = 240312


Lets's calculate GCF of 376,904,540

2 376, 904, 540
2 188, 452, 270
94, 226, 135

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240312/4

Therefore the LCM of Fractions 31/376,57/904,136/540 is 60078

Greatest Common Factor of 376,904,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,904,540 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 376,904,540 . The biggest common factor number is the GCF number.
So the greatest common factor 376,904,540 is 4.


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 31/376, 57/904, 136/540

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 31/376, 57/904, 136/540?

Answer: LCM of Numerators as per given numbers 31/376, 57/904, 136/540 is

LCM of Numerators i.e. for 31,57,136 is 240312

GCF of denominators i.e. for 376,904,540 is 4.

Thus, LCM of Fractions is 60078.Finally, LCM of Fractions for 31/376, 57/904, 136/540 is 60078.