Least Common Multiple of 6952/538, 5844/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6952/538, 5844/378 quickly i.e. 5078436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6952/538, 5844/378 is 5078436.

LCM(6952/538, 5844/378) = 5078436

LCM of 6952/538, 5844/378

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 6952/538,5844/378

Given numbers are 6952/538,5844/378

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 6952,5844

Least Common Multiple of Numerators i.e. LCM of 6952,5844 is 10156872.

GCF of Denominators means GCF of 538,378 as per the given fractions.

GCF of 538,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6952,5844

LCM of Fractions 6952/538,5844/378 is 5078436

2 6952, 5844
2 3476, 2922
1738, 1461

∴ So the LCM of the given numbers is 2 x 2 x 1738 x 1461 = 10156872

Least Common Multiple of 6952,5844 with GCF Formula

Least Common Multiple of 6952,5844 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 6952,5844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6952,5844) = 4

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

GCF(6952,5844) x common factors =4 x 1 = 4

LCM(6952,5844) = ( 6952 × 5844 ) / 4

LCM(6952,5844) = 40627488 / 4

LCM(6952,5844) = 10156872


Lets's calculate GCF of 538,378

2 538, 378
269, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10156872/2

Therefore the LCM of Fractions 6952/538,5844/378 is 5078436

Greatest Common Factor of 538,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,378 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

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

Greatest Common Factor

We found the factors 538,378 . The biggest common factor number is the GCF number.
So the greatest common factor 538,378 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 6952/538, 5844/378

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 6952/538, 5844/378?

Answer: LCM of Numerators as per given numbers 6952/538, 5844/378 is

LCM of Numerators i.e. for 6952,5844 is 10156872

GCF of denominators i.e. for 538,378 is 2.

Thus, LCM of Fractions is 5078436.Finally, LCM of Fractions for 6952/538, 5844/378 is 5078436.