Least Common Multiple of 87/81, 13/172, 252/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/81, 13/172, 252/136 quickly i.e. 95004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/81, 13/172, 252/136 is 95004.

LCM(87/81, 13/172, 252/136) = 95004

LCM of 87/81, 13/172, 252/136

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 87/81,13/172,252/136

Given numbers are 87/81,13/172,252/136

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 87,13,252

Least Common Multiple of Numerators i.e. LCM of 87,13,252 is 95004.

GCF of Denominators means GCF of 81,172,136 as per the given fractions.

GCF of 81,172,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,13,252

LCM of Fractions 87/81,13/172,252/136 is 95004

3 87, 13, 252
29, 13, 84

∴ So the LCM of the given numbers is 3 x 29 x 13 x 84 = 95004

Least Common Multiple of 87,13,252 with GCF Formula

Least Common Multiple of 87,13,252 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 87,13,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,13,252) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,13,252) x common factors =1 x 3 = 3

LCM(87,13,252) = ( 87 × 13 × 252 ) / 3

LCM(87,13,252) = 285012 / 3

LCM(87,13,252) = 95004


Lets's calculate GCF of 81,172,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95004/1

Therefore the LCM of Fractions 87/81,13/172,252/136 is 95004

Greatest Common Factor of 81,172,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,172,136 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

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 81,172,136 . The biggest common factor number is the GCF number.
So the greatest common factor 81,172,136 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 87/81, 13/172, 252/136

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 87/81, 13/172, 252/136?

Answer: LCM of Numerators as per given numbers 87/81, 13/172, 252/136 is

LCM of Numerators i.e. for 87,13,252 is 95004

GCF of denominators i.e. for 81,172,136 is 1.

Thus, LCM of Fractions is 95004.Finally, LCM of Fractions for 87/81, 13/172, 252/136 is 95004.