Least Common Multiple of 6924/715, 2712/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6924/715, 2712/962 quickly i.e. 1564824/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6924/715, 2712/962 is 1564824/13.

LCM(6924/715, 2712/962) = 1564824/13

LCM of 6924/715, 2712/962

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 6924/715,2712/962

Given numbers are 6924/715,2712/962

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 6924,2712

Least Common Multiple of Numerators i.e. LCM of 6924,2712 is 1564824.

GCF of Denominators means GCF of 715,962 as per the given fractions.

GCF of 715,962 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6924,2712

LCM of Fractions 6924/715,2712/962 is 1564824/13

2 6924, 2712
2 3462, 1356
3 1731, 678
577, 226

∴ So the LCM of the given numbers is 2 x 2 x 3 x 577 x 226 = 1564824

Least Common Multiple of 6924,2712 with GCF Formula

Least Common Multiple of 6924,2712 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 6924,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6924,2712) = 12

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

GCF(6924,2712) x common factors =12 x 1 = 12

LCM(6924,2712) = ( 6924 × 2712 ) / 12

LCM(6924,2712) = 18777888 / 12

LCM(6924,2712) = 1564824


Lets's calculate GCF of 715,962

13 715, 962
55, 74

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1564824/13

Therefore the LCM of Fractions 6924/715,2712/962 is 1564824/13

Greatest Common Factor of 715,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,962 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 715,962 . The biggest common factor number is the GCF number.
So the greatest common factor 715,962 is 13.


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 6924/715, 2712/962

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 6924/715, 2712/962?

Answer: LCM of Numerators as per given numbers 6924/715, 2712/962 is

LCM of Numerators i.e. for 6924,2712 is 1564824

GCF of denominators i.e. for 715,962 is 13.

Thus, LCM of Fractions is 1564824/13.Finally, LCM of Fractions for 6924/715, 2712/962 is 1564824/13.