Least Common Multiple of 57/84, 27/78, 952/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/84, 27/78, 952/561 quickly i.e. 162792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/84, 27/78, 952/561 is 162792.

LCM(57/84, 27/78, 952/561) = 162792

LCM of 57/84, 27/78, 952/561

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 57/84,27/78,952/561

Given numbers are 57/84,27/78,952/561

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 57,27,952

Least Common Multiple of Numerators i.e. LCM of 57,27,952 is 488376.

GCF of Denominators means GCF of 84,78,561 as per the given fractions.

GCF of 84,78,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,27,952

LCM of Fractions 57/84,27/78,952/561 is 162792

3 57, 27, 952
19, 9, 952

∴ So the LCM of the given numbers is 3 x 19 x 9 x 952 = 488376

Least Common Multiple of 57,27,952 with GCF Formula

Least Common Multiple of 57,27,952 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 57,27,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,27,952) = 1

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

GCF(57,27,952) x common factors =1 x 3 = 3

LCM(57,27,952) = ( 57 × 27 × 952 ) / 3

LCM(57,27,952) = 1465128 / 3

LCM(57,27,952) = 488376


Lets's calculate GCF of 84,78,561

3 84, 78, 561
28, 26, 187

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488376/3

Therefore the LCM of Fractions 57/84,27/78,952/561 is 162792

Greatest Common Factor of 84,78,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,78,561 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 84,78,561 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,561 is 3.


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 57/84, 27/78, 952/561

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 57/84, 27/78, 952/561?

Answer: LCM of Numerators as per given numbers 57/84, 27/78, 952/561 is

LCM of Numerators i.e. for 57,27,952 is 488376

GCF of denominators i.e. for 84,78,561 is 3.

Thus, LCM of Fractions is 162792.Finally, LCM of Fractions for 57/84, 27/78, 952/561 is 162792.