Least Common Multiple of 6357/696, 7712/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6357/696, 7712/418 quickly i.e. 24512592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6357/696, 7712/418 is 24512592.

LCM(6357/696, 7712/418) = 24512592

LCM of 6357/696, 7712/418

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 6357/696,7712/418

Given numbers are 6357/696,7712/418

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 6357,7712

Least Common Multiple of Numerators i.e. LCM of 6357,7712 is 49025184.

GCF of Denominators means GCF of 696,418 as per the given fractions.

GCF of 696,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6357,7712

LCM of Fractions 6357/696,7712/418 is 24512592

Given numbers has no common factors except 1. So, there LCM is their product i.e 49025184

Least Common Multiple of 6357,7712 with GCF Formula

Least Common Multiple of 6357,7712 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 6357,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6357,7712) = 1

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

GCF(6357,7712) x common factors =1 x 1 = 1

LCM(6357,7712) = ( 6357 × 7712 ) / 1

LCM(6357,7712) = 49025184 / 1

LCM(6357,7712) = 49025184


Lets's calculate GCF of 696,418

2 696, 418
348, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49025184/2

Therefore the LCM of Fractions 6357/696,7712/418 is 24512592

Greatest Common Factor of 696,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,418 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 696,418 . The biggest common factor number is the GCF number.
So the greatest common factor 696,418 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 6357/696, 7712/418

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 6357/696, 7712/418?

Answer: LCM of Numerators as per given numbers 6357/696, 7712/418 is

LCM of Numerators i.e. for 6357,7712 is 49025184

GCF of denominators i.e. for 696,418 is 2.

Thus, LCM of Fractions is 24512592.Finally, LCM of Fractions for 6357/696, 7712/418 is 24512592.