Least Common Multiple of 57/748, 6939/7156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/748, 6939/7156 quickly i.e. 131841/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/748, 6939/7156 is 131841/4.

LCM(57/748, 6939/7156) = 131841/4

LCM of 57/748, 6939/7156

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 57/748,6939/7156

Given numbers are 57/748,6939/7156

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 57,6939

Least Common Multiple of Numerators i.e. LCM of 57,6939 is 131841.

GCF of Denominators means GCF of 748,7156 as per the given fractions.

GCF of 748,7156 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,6939

LCM of Fractions 57/748,6939/7156 is 131841/4

3 57, 6939
19, 2313

∴ So the LCM of the given numbers is 3 x 19 x 2313 = 131841

Least Common Multiple of 57,6939 with GCF Formula

Least Common Multiple of 57,6939 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 57,6939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,6939) = 3

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

GCF(57,6939) x common factors =3 x 1 = 3

LCM(57,6939) = ( 57 × 6939 ) / 3

LCM(57,6939) = 395523 / 3

LCM(57,6939) = 131841


Lets's calculate GCF of 748,7156

2 748, 7156
2 374, 3578
187, 1789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131841/4

Therefore the LCM of Fractions 57/748,6939/7156 is 131841/4

Greatest Common Factor of 748,7156 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,7156 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1,2,4,1789,3578,7156

Greatest Common Factor

We found the factors 748,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 748,7156 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 57/748, 6939/7156

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 57/748, 6939/7156?

Answer: LCM of Numerators as per given numbers 57/748, 6939/7156 is

LCM of Numerators i.e. for 57,6939 is 131841

GCF of denominators i.e. for 748,7156 is 4.

Thus, LCM of Fractions is 131841/4.Finally, LCM of Fractions for 57/748, 6939/7156 is 131841/4.