Least Common Multiple of 822/249, 822/640, 212/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/249, 822/640, 212/191 quickly i.e. 87132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/249, 822/640, 212/191 is 87132.

LCM(822/249, 822/640, 212/191) = 87132

LCM of 822/249, 822/640, 212/191

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 822/249,822/640,212/191

Given numbers are 822/249,822/640,212/191

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 822,822,212

Least Common Multiple of Numerators i.e. LCM of 822,822,212 is 87132.

GCF of Denominators means GCF of 249,640,191 as per the given fractions.

GCF of 249,640,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,822,212

LCM of Fractions 822/249,822/640,212/191 is 87132

2 822, 822, 212
3 411, 411, 106
137 137, 137, 106
1, 1, 106

∴ So the LCM of the given numbers is 2 x 3 x 137 x 1 x 1 x 106 = 87132

Least Common Multiple of 822,822,212 with GCF Formula

Least Common Multiple of 822,822,212 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 822,822,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,822,212) = 2

common factors(in case of two or more numbers have common factors) = 822

GCF(822,822,212) x common factors =2 x 822 = 1644

LCM(822,822,212) = ( 822 × 822 × 212 ) / 1644

LCM(822,822,212) = 143245008 / 1644

LCM(822,822,212) = 87132


Lets's calculate GCF of 249,640,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87132/1

Therefore the LCM of Fractions 822/249,822/640,212/191 is 87132

Greatest Common Factor of 249,640,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,640,191 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 249,640,191 . The biggest common factor number is the GCF number.
So the greatest common factor 249,640,191 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 822/249, 822/640, 212/191

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 822/249, 822/640, 212/191?

Answer: LCM of Numerators as per given numbers 822/249, 822/640, 212/191 is

LCM of Numerators i.e. for 822,822,212 is 87132

GCF of denominators i.e. for 249,640,191 is 1.

Thus, LCM of Fractions is 87132.Finally, LCM of Fractions for 822/249, 822/640, 212/191 is 87132.