Least Common Multiple of 96/516, 57/136, 658/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/516, 57/136, 658/625 quickly i.e. 600096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/516, 57/136, 658/625 is 600096.

LCM(96/516, 57/136, 658/625) = 600096

LCM of 96/516, 57/136, 658/625

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 96/516,57/136,658/625

Given numbers are 96/516,57/136,658/625

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 96,57,658

Least Common Multiple of Numerators i.e. LCM of 96,57,658 is 600096.

GCF of Denominators means GCF of 516,136,625 as per the given fractions.

GCF of 516,136,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,57,658

LCM of Fractions 96/516,57/136,658/625 is 600096

2 96, 57, 658
3 48, 57, 329
16, 19, 329

∴ So the LCM of the given numbers is 2 x 3 x 16 x 19 x 329 = 600096

Least Common Multiple of 96,57,658 with GCF Formula

Least Common Multiple of 96,57,658 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 96,57,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,57,658) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,57,658) x common factors =1 x 6 = 6

LCM(96,57,658) = ( 96 × 57 × 658 ) / 6

LCM(96,57,658) = 3600576 / 6

LCM(96,57,658) = 600096


Lets's calculate GCF of 516,136,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600096/1

Therefore the LCM of Fractions 96/516,57/136,658/625 is 600096

Greatest Common Factor of 516,136,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,136,625 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

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 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 516,136,625 . The biggest common factor number is the GCF number.
So the greatest common factor 516,136,625 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 96/516, 57/136, 658/625

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 96/516, 57/136, 658/625?

Answer: LCM of Numerators as per given numbers 96/516, 57/136, 658/625 is

LCM of Numerators i.e. for 96,57,658 is 600096

GCF of denominators i.e. for 516,136,625 is 1.

Thus, LCM of Fractions is 600096.Finally, LCM of Fractions for 96/516, 57/136, 658/625 is 600096.