Least Common Multiple of 7/72, 3/30, 6/20, 81/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/72, 3/30, 6/20, 81/136 quickly i.e. 567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/72, 3/30, 6/20, 81/136 is 567.

LCM(7/72, 3/30, 6/20, 81/136) = 567

LCM of 7/72, 3/30, 6/20, 81/136

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 7/72,3/30,6/20,81/136

Given numbers are 7/72,3/30,6/20,81/136

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 7,3,6,81

Least Common Multiple of Numerators i.e. LCM of 7,3,6,81 is 1134.

GCF of Denominators means GCF of 72,30,20,136 as per the given fractions.

GCF of 72,30,20,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,3,6,81

LCM of Fractions 7/72,3/30,6/20,81/136 is 567

3 7, 3, 6, 81
7, 1, 2, 27

∴ So the LCM of the given numbers is 3 x 7 x 1 x 2 x 27 = 1134

Least Common Multiple of 7,3,6,81 with GCF Formula

Least Common Multiple of 7,3,6,81 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 7,3,6,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,3,6,81) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(7,3,6,81) x common factors =1 x 9 = 9

LCM(7,3,6,81) = ( 7 × 3 × 6 × 81 ) / 9

LCM(7,3,6,81) = 10206 / 9

LCM(7,3,6,81) = 1134


Lets's calculate GCF of 72,30,20,136

2 72, 30, 20, 136
36, 15, 10, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1134/2

Therefore the LCM of Fractions 7/72,3/30,6/20,81/136 is 567

Greatest Common Factor of 72,30,20,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,30,20,136 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 72,30,20,136 . The biggest common factor number is the GCF number.
So the greatest common factor 72,30,20,136 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 7/72, 3/30, 6/20, 81/136

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 7/72, 3/30, 6/20, 81/136?

Answer: LCM of Numerators as per given numbers 7/72, 3/30, 6/20, 81/136 is

LCM of Numerators i.e. for 7,3,6,81 is 1134

GCF of denominators i.e. for 72,30,20,136 is 2.

Thus, LCM of Fractions is 567.Finally, LCM of Fractions for 7/72, 3/30, 6/20, 81/136 is 567.