Least Common Multiple of 8676/378, 5162/6937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8676/378, 5162/6937 quickly i.e. 22392756/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8676/378, 5162/6937 is 22392756/7.

LCM(8676/378, 5162/6937) = 22392756/7

LCM of 8676/378, 5162/6937

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 8676/378,5162/6937

Given numbers are 8676/378,5162/6937

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 8676,5162

Least Common Multiple of Numerators i.e. LCM of 8676,5162 is 22392756.

GCF of Denominators means GCF of 378,6937 as per the given fractions.

GCF of 378,6937 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8676,5162

LCM of Fractions 8676/378,5162/6937 is 22392756/7

2 8676, 5162
4338, 2581

∴ So the LCM of the given numbers is 2 x 4338 x 2581 = 22392756

Least Common Multiple of 8676,5162 with GCF Formula

Least Common Multiple of 8676,5162 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 8676,5162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8676,5162) = 2

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

GCF(8676,5162) x common factors =2 x 1 = 2

LCM(8676,5162) = ( 8676 × 5162 ) / 2

LCM(8676,5162) = 44785512 / 2

LCM(8676,5162) = 22392756


Lets's calculate GCF of 378,6937

7 378, 6937
54, 991

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22392756/7

Therefore the LCM of Fractions 8676/378,5162/6937 is 22392756/7

Greatest Common Factor of 378,6937 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,6937 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 6937

List of positive integer factors of 6937 that divides 6937 without a remainder.

1,7,991,6937

Greatest Common Factor

We found the factors 378,6937 . The biggest common factor number is the GCF number.
So the greatest common factor 378,6937 is 7.


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 8676/378, 5162/6937

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 8676/378, 5162/6937?

Answer: LCM of Numerators as per given numbers 8676/378, 5162/6937 is

LCM of Numerators i.e. for 8676,5162 is 22392756

GCF of denominators i.e. for 378,6937 is 7.

Thus, LCM of Fractions is 22392756/7.Finally, LCM of Fractions for 8676/378, 5162/6937 is 22392756/7.