Least Common Multiple of 72/540, 8277/3657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/540, 8277/3657 quickly i.e. 66216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/540, 8277/3657 is 66216.

LCM(72/540, 8277/3657) = 66216

LCM of 72/540, 8277/3657

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 72/540,8277/3657

Given numbers are 72/540,8277/3657

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 72,8277

Least Common Multiple of Numerators i.e. LCM of 72,8277 is 198648.

GCF of Denominators means GCF of 540,3657 as per the given fractions.

GCF of 540,3657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,8277

LCM of Fractions 72/540,8277/3657 is 66216

3 72, 8277
24, 2759

∴ So the LCM of the given numbers is 3 x 24 x 2759 = 198648

Least Common Multiple of 72,8277 with GCF Formula

Least Common Multiple of 72,8277 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 72,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,8277) = 3

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

GCF(72,8277) x common factors =3 x 1 = 3

LCM(72,8277) = ( 72 × 8277 ) / 3

LCM(72,8277) = 595944 / 3

LCM(72,8277) = 198648


Lets's calculate GCF of 540,3657

3 540, 3657
180, 1219

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198648/3

Therefore the LCM of Fractions 72/540,8277/3657 is 66216

Greatest Common Factor of 540,3657 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,3657 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

Greatest Common Factor

We found the factors 540,3657 . The biggest common factor number is the GCF number.
So the greatest common factor 540,3657 is 3.


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 72/540, 8277/3657

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 72/540, 8277/3657?

Answer: LCM of Numerators as per given numbers 72/540, 8277/3657 is

LCM of Numerators i.e. for 72,8277 is 198648

GCF of denominators i.e. for 540,3657 is 3.

Thus, LCM of Fractions is 66216.Finally, LCM of Fractions for 72/540, 8277/3657 is 66216.