Least Common Multiple of 22/76, 201/54, 209/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/76, 201/54, 209/708 quickly i.e. 42009 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/76, 201/54, 209/708 is 42009.

LCM(22/76, 201/54, 209/708) = 42009

LCM of 22/76, 201/54, 209/708

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 22/76,201/54,209/708

Given numbers are 22/76,201/54,209/708

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 22,201,209

Least Common Multiple of Numerators i.e. LCM of 22,201,209 is 84018.

GCF of Denominators means GCF of 76,54,708 as per the given fractions.

GCF of 76,54,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,201,209

LCM of Fractions 22/76,201/54,209/708 is 42009

11 22, 201, 209
2, 201, 19

∴ So the LCM of the given numbers is 11 x 2 x 201 x 19 = 84018

Least Common Multiple of 22,201,209 with GCF Formula

Least Common Multiple of 22,201,209 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 22,201,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,201,209) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(22,201,209) x common factors =1 x 11 = 11

LCM(22,201,209) = ( 22 × 201 × 209 ) / 11

LCM(22,201,209) = 924198 / 11

LCM(22,201,209) = 84018


Lets's calculate GCF of 76,54,708

2 76, 54, 708
38, 27, 354

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84018/2

Therefore the LCM of Fractions 22/76,201/54,209/708 is 42009

Greatest Common Factor of 76,54,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,54,708 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 76,54,708 . The biggest common factor number is the GCF number.
So the greatest common factor 76,54,708 is 2.


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 22/76, 201/54, 209/708

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 22/76, 201/54, 209/708?

Answer: LCM of Numerators as per given numbers 22/76, 201/54, 209/708 is

LCM of Numerators i.e. for 22,201,209 is 84018

GCF of denominators i.e. for 76,54,708 is 2.

Thus, LCM of Fractions is 42009.Finally, LCM of Fractions for 22/76, 201/54, 209/708 is 42009.