Least Common Multiple of 276/540, 3324/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/540, 3324/507 quickly i.e. 25484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/540, 3324/507 is 25484.

LCM(276/540, 3324/507) = 25484

LCM of 276/540, 3324/507

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 276/540,3324/507

Given numbers are 276/540,3324/507

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 276,3324

Least Common Multiple of Numerators i.e. LCM of 276,3324 is 76452.

GCF of Denominators means GCF of 540,507 as per the given fractions.

GCF of 540,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,3324

LCM of Fractions 276/540,3324/507 is 25484

2 276, 3324
2 138, 1662
3 69, 831
23, 277

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 277 = 76452

Least Common Multiple of 276,3324 with GCF Formula

Least Common Multiple of 276,3324 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 276,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,3324) = 12

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

GCF(276,3324) x common factors =12 x 1 = 12

LCM(276,3324) = ( 276 × 3324 ) / 12

LCM(276,3324) = 917424 / 12

LCM(276,3324) = 76452


Lets's calculate GCF of 540,507

3 540, 507
180, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76452/3

Therefore the LCM of Fractions 276/540,3324/507 is 25484

Greatest Common Factor of 540,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,507 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 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 540,507 . The biggest common factor number is the GCF number.
So the greatest common factor 540,507 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 276/540, 3324/507

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 276/540, 3324/507?

Answer: LCM of Numerators as per given numbers 276/540, 3324/507 is

LCM of Numerators i.e. for 276,3324 is 76452

GCF of denominators i.e. for 540,507 is 3.

Thus, LCM of Fractions is 25484.Finally, LCM of Fractions for 276/540, 3324/507 is 25484.