Least Common Multiple of 13/22, 600/71, 272/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/22, 600/71, 272/118 quickly i.e. 265200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/22, 600/71, 272/118 is 265200.

LCM(13/22, 600/71, 272/118) = 265200

LCM of 13/22, 600/71, 272/118

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 13/22,600/71,272/118

Given numbers are 13/22,600/71,272/118

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 13,600,272

Least Common Multiple of Numerators i.e. LCM of 13,600,272 is 265200.

GCF of Denominators means GCF of 22,71,118 as per the given fractions.

GCF of 22,71,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,600,272

LCM of Fractions 13/22,600/71,272/118 is 265200

2 13, 600, 272
2 13, 300, 136
2 13, 150, 68
13, 75, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 75 x 34 = 265200

Least Common Multiple of 13,600,272 with GCF Formula

Least Common Multiple of 13,600,272 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 13,600,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,600,272) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(13,600,272) x common factors =1 x 8 = 8

LCM(13,600,272) = ( 13 × 600 × 272 ) / 8

LCM(13,600,272) = 2121600 / 8

LCM(13,600,272) = 265200


Lets's calculate GCF of 22,71,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265200/1

Therefore the LCM of Fractions 13/22,600/71,272/118 is 265200

Greatest Common Factor of 22,71,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,71,118 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 22,71,118 . The biggest common factor number is the GCF number.
So the greatest common factor 22,71,118 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/22, 600/71, 272/118

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 13/22, 600/71, 272/118?

Answer: LCM of Numerators as per given numbers 13/22, 600/71, 272/118 is

LCM of Numerators i.e. for 13,600,272 is 265200

GCF of denominators i.e. for 22,71,118 is 1.

Thus, LCM of Fractions is 265200.Finally, LCM of Fractions for 13/22, 600/71, 272/118 is 265200.