Least Common Multiple of 6931/952, 4541/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6931/952, 4541/912 quickly i.e. 131689/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6931/952, 4541/912 is 131689/8.

LCM(6931/952, 4541/912) = 131689/8

LCM of 6931/952, 4541/912

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 6931/952,4541/912

Given numbers are 6931/952,4541/912

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 6931,4541

Least Common Multiple of Numerators i.e. LCM of 6931,4541 is 131689.

GCF of Denominators means GCF of 952,912 as per the given fractions.

GCF of 952,912 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6931,4541

LCM of Fractions 6931/952,4541/912 is 131689/8

239 6931, 4541
29, 19

∴ So the LCM of the given numbers is 239 x 29 x 19 = 131689

Least Common Multiple of 6931,4541 with GCF Formula

Least Common Multiple of 6931,4541 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 6931,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6931,4541) = 239

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

GCF(6931,4541) x common factors =239 x 1 = 239

LCM(6931,4541) = ( 6931 × 4541 ) / 239

LCM(6931,4541) = 31473671 / 239

LCM(6931,4541) = 131689


Lets's calculate GCF of 952,912

2 952, 912
2 476, 456
2 238, 228
119, 114

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131689/8

Therefore the LCM of Fractions 6931/952,4541/912 is 131689/8

Greatest Common Factor of 952,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,912 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 952,912 . The biggest common factor number is the GCF number.
So the greatest common factor 952,912 is 8.


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 6931/952, 4541/912

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 6931/952, 4541/912?

Answer: LCM of Numerators as per given numbers 6931/952, 4541/912 is

LCM of Numerators i.e. for 6931,4541 is 131689

GCF of denominators i.e. for 952,912 is 8.

Thus, LCM of Fractions is 131689/8.Finally, LCM of Fractions for 6931/952, 4541/912 is 131689/8.