Least Common Multiple of 81/564, 357/136, 532/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/564, 357/136, 532/315 quickly i.e. 732564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/564, 357/136, 532/315 is 732564.

LCM(81/564, 357/136, 532/315) = 732564

LCM of 81/564, 357/136, 532/315

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 81/564,357/136,532/315

Given numbers are 81/564,357/136,532/315

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 81,357,532

Least Common Multiple of Numerators i.e. LCM of 81,357,532 is 732564.

GCF of Denominators means GCF of 564,136,315 as per the given fractions.

GCF of 564,136,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,357,532

LCM of Fractions 81/564,357/136,532/315 is 732564

3 81, 357, 532
7 27, 119, 532
27, 17, 76

∴ So the LCM of the given numbers is 3 x 7 x 27 x 17 x 76 = 732564

Least Common Multiple of 81,357,532 with GCF Formula

Least Common Multiple of 81,357,532 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 81,357,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,357,532) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(81,357,532) x common factors =1 x 21 = 21

LCM(81,357,532) = ( 81 × 357 × 532 ) / 21

LCM(81,357,532) = 15383844 / 21

LCM(81,357,532) = 732564


Lets's calculate GCF of 564,136,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732564/1

Therefore the LCM of Fractions 81/564,357/136,532/315 is 732564

Greatest Common Factor of 564,136,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,136,315 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 136

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

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

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 564,136,315 . The biggest common factor number is the GCF number.
So the greatest common factor 564,136,315 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 81/564, 357/136, 532/315

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 81/564, 357/136, 532/315?

Answer: LCM of Numerators as per given numbers 81/564, 357/136, 532/315 is

LCM of Numerators i.e. for 81,357,532 is 732564

GCF of denominators i.e. for 564,136,315 is 1.

Thus, LCM of Fractions is 732564.Finally, LCM of Fractions for 81/564, 357/136, 532/315 is 732564.