Least Common Multiple of 52/165, 64/612, 157/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/165, 64/612, 157/916 quickly i.e. 130624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/165, 64/612, 157/916 is 130624.

LCM(52/165, 64/612, 157/916) = 130624

LCM of 52/165, 64/612, 157/916

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 52/165,64/612,157/916

Given numbers are 52/165,64/612,157/916

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 52,64,157

Least Common Multiple of Numerators i.e. LCM of 52,64,157 is 130624.

GCF of Denominators means GCF of 165,612,916 as per the given fractions.

GCF of 165,612,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,64,157

LCM of Fractions 52/165,64/612,157/916 is 130624

2 52, 64, 157
2 26, 32, 157
13, 16, 157

∴ So the LCM of the given numbers is 2 x 2 x 13 x 16 x 157 = 130624

Least Common Multiple of 52,64,157 with GCF Formula

Least Common Multiple of 52,64,157 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 52,64,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,64,157) = 1

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

GCF(52,64,157) x common factors =1 x 4 = 4

LCM(52,64,157) = ( 52 × 64 × 157 ) / 4

LCM(52,64,157) = 522496 / 4

LCM(52,64,157) = 130624


Lets's calculate GCF of 165,612,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130624/1

Therefore the LCM of Fractions 52/165,64/612,157/916 is 130624

Greatest Common Factor of 165,612,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,612,916 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 165,612,916 . The biggest common factor number is the GCF number.
So the greatest common factor 165,612,916 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 52/165, 64/612, 157/916

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 52/165, 64/612, 157/916?

Answer: LCM of Numerators as per given numbers 52/165, 64/612, 157/916 is

LCM of Numerators i.e. for 52,64,157 is 130624

GCF of denominators i.e. for 165,612,916 is 1.

Thus, LCM of Fractions is 130624.Finally, LCM of Fractions for 52/165, 64/612, 157/916 is 130624.