Least Common Multiple of 243/971, 642/660, 636/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/971, 642/660, 636/331 quickly i.e. 5512212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/971, 642/660, 636/331 is 5512212.

LCM(243/971, 642/660, 636/331) = 5512212

LCM of 243/971, 642/660, 636/331

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 243/971,642/660,636/331

Given numbers are 243/971,642/660,636/331

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 243,642,636

Least Common Multiple of Numerators i.e. LCM of 243,642,636 is 5512212.

GCF of Denominators means GCF of 971,660,331 as per the given fractions.

GCF of 971,660,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,642,636

LCM of Fractions 243/971,642/660,636/331 is 5512212

2 243, 642, 636
3 243, 321, 318
81, 107, 106

∴ So the LCM of the given numbers is 2 x 3 x 81 x 107 x 106 = 5512212

Least Common Multiple of 243,642,636 with GCF Formula

Least Common Multiple of 243,642,636 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 243,642,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,642,636) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(243,642,636) x common factors =3 x 6 = 18

LCM(243,642,636) = ( 243 × 642 × 636 ) / 18

LCM(243,642,636) = 99219816 / 18

LCM(243,642,636) = 5512212


Lets's calculate GCF of 971,660,331

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5512212/1

Therefore the LCM of Fractions 243/971,642/660,636/331 is 5512212

Greatest Common Factor of 971,660,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,660,331 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 971,660,331 . The biggest common factor number is the GCF number.
So the greatest common factor 971,660,331 is 1.


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 243/971, 642/660, 636/331

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 243/971, 642/660, 636/331?

Answer: LCM of Numerators as per given numbers 243/971, 642/660, 636/331 is

LCM of Numerators i.e. for 243,642,636 is 5512212

GCF of denominators i.e. for 971,660,331 is 1.

Thus, LCM of Fractions is 5512212.Finally, LCM of Fractions for 243/971, 642/660, 636/331 is 5512212.