Least Common Multiple of 8697/540, 5292/2373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8697/540, 5292/2373 quickly i.e. 5113836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8697/540, 5292/2373 is 5113836.

LCM(8697/540, 5292/2373) = 5113836

LCM of 8697/540, 5292/2373

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 8697/540,5292/2373

Given numbers are 8697/540,5292/2373

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 8697,5292

Least Common Multiple of Numerators i.e. LCM of 8697,5292 is 15341508.

GCF of Denominators means GCF of 540,2373 as per the given fractions.

GCF of 540,2373 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8697,5292

LCM of Fractions 8697/540,5292/2373 is 5113836

3 8697, 5292
2899, 1764

∴ So the LCM of the given numbers is 3 x 2899 x 1764 = 15341508

Least Common Multiple of 8697,5292 with GCF Formula

Least Common Multiple of 8697,5292 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 8697,5292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8697,5292) = 3

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

GCF(8697,5292) x common factors =3 x 1 = 3

LCM(8697,5292) = ( 8697 × 5292 ) / 3

LCM(8697,5292) = 46024524 / 3

LCM(8697,5292) = 15341508


Lets's calculate GCF of 540,2373

3 540, 2373
180, 791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15341508/3

Therefore the LCM of Fractions 8697/540,5292/2373 is 5113836

Greatest Common Factor of 540,2373 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,2373 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 2373

List of positive integer factors of 2373 that divides 2373 without a remainder.

1,3,7,21,113,339,791,2373

Greatest Common Factor

We found the factors 540,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 540,2373 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 8697/540, 5292/2373

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 8697/540, 5292/2373?

Answer: LCM of Numerators as per given numbers 8697/540, 5292/2373 is

LCM of Numerators i.e. for 8697,5292 is 15341508

GCF of denominators i.e. for 540,2373 is 3.

Thus, LCM of Fractions is 5113836.Finally, LCM of Fractions for 8697/540, 5292/2373 is 5113836.