Least Common Multiple of 6240/724, 6711/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6240/724, 6711/926 quickly i.e. 6979440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6240/724, 6711/926 is 6979440.

LCM(6240/724, 6711/926) = 6979440

LCM of 6240/724, 6711/926

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 6240/724,6711/926

Given numbers are 6240/724,6711/926

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 6240,6711

Least Common Multiple of Numerators i.e. LCM of 6240,6711 is 13958880.

GCF of Denominators means GCF of 724,926 as per the given fractions.

GCF of 724,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6240,6711

LCM of Fractions 6240/724,6711/926 is 6979440

3 6240, 6711
2080, 2237

∴ So the LCM of the given numbers is 3 x 2080 x 2237 = 13958880

Least Common Multiple of 6240,6711 with GCF Formula

Least Common Multiple of 6240,6711 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 6240,6711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6240,6711) = 3

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

GCF(6240,6711) x common factors =3 x 1 = 3

LCM(6240,6711) = ( 6240 × 6711 ) / 3

LCM(6240,6711) = 41876640 / 3

LCM(6240,6711) = 13958880


Lets's calculate GCF of 724,926

2 724, 926
362, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13958880/2

Therefore the LCM of Fractions 6240/724,6711/926 is 6979440

Greatest Common Factor of 724,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,926 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 724,926 . The biggest common factor number is the GCF number.
So the greatest common factor 724,926 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 6240/724, 6711/926

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 6240/724, 6711/926?

Answer: LCM of Numerators as per given numbers 6240/724, 6711/926 is

LCM of Numerators i.e. for 6240,6711 is 13958880

GCF of denominators i.e. for 724,926 is 2.

Thus, LCM of Fractions is 6979440.Finally, LCM of Fractions for 6240/724, 6711/926 is 6979440.