Least Common Multiple of 57/316, 32/771, 364/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/316, 32/771, 364/221 quickly i.e. 165984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/316, 32/771, 364/221 is 165984.

LCM(57/316, 32/771, 364/221) = 165984

LCM of 57/316, 32/771, 364/221

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 57/316,32/771,364/221

Given numbers are 57/316,32/771,364/221

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 57,32,364

Least Common Multiple of Numerators i.e. LCM of 57,32,364 is 165984.

GCF of Denominators means GCF of 316,771,221 as per the given fractions.

GCF of 316,771,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,32,364

LCM of Fractions 57/316,32/771,364/221 is 165984

2 57, 32, 364
2 57, 16, 182
57, 8, 91

∴ So the LCM of the given numbers is 2 x 2 x 57 x 8 x 91 = 165984

Least Common Multiple of 57,32,364 with GCF Formula

Least Common Multiple of 57,32,364 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 57,32,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,32,364) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(57,32,364) x common factors =1 x 4 = 4

LCM(57,32,364) = ( 57 × 32 × 364 ) / 4

LCM(57,32,364) = 663936 / 4

LCM(57,32,364) = 165984


Lets's calculate GCF of 316,771,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165984/1

Therefore the LCM of Fractions 57/316,32/771,364/221 is 165984

Greatest Common Factor of 316,771,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,771,221 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 316,771,221 . The biggest common factor number is the GCF number.
So the greatest common factor 316,771,221 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 57/316, 32/771, 364/221

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 57/316, 32/771, 364/221?

Answer: LCM of Numerators as per given numbers 57/316, 32/771, 364/221 is

LCM of Numerators i.e. for 57,32,364 is 165984

GCF of denominators i.e. for 316,771,221 is 1.

Thus, LCM of Fractions is 165984.Finally, LCM of Fractions for 57/316, 32/771, 364/221 is 165984.