Least Common Multiple of 57/979, 7593/6394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/979, 7593/6394 quickly i.e. 144267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/979, 7593/6394 is 144267.

LCM(57/979, 7593/6394) = 144267

LCM of 57/979, 7593/6394

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 57/979,7593/6394

Given numbers are 57/979,7593/6394

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 57,7593

Least Common Multiple of Numerators i.e. LCM of 57,7593 is 144267.

GCF of Denominators means GCF of 979,6394 as per the given fractions.

GCF of 979,6394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,7593

LCM of Fractions 57/979,7593/6394 is 144267

3 57, 7593
19, 2531

∴ So the LCM of the given numbers is 3 x 19 x 2531 = 144267

Least Common Multiple of 57,7593 with GCF Formula

Least Common Multiple of 57,7593 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 57,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,7593) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(57,7593) x common factors =3 x 1 = 3

LCM(57,7593) = ( 57 × 7593 ) / 3

LCM(57,7593) = 432801 / 3

LCM(57,7593) = 144267


Lets's calculate GCF of 979,6394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144267/1

Therefore the LCM of Fractions 57/979,7593/6394 is 144267

Greatest Common Factor of 979,6394 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,6394 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1,2,23,46,139,278,3197,6394

Greatest Common Factor

We found the factors 979,6394 . The biggest common factor number is the GCF number.
So the greatest common factor 979,6394 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 57/979, 7593/6394

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 57/979, 7593/6394?

Answer: LCM of Numerators as per given numbers 57/979, 7593/6394 is

LCM of Numerators i.e. for 57,7593 is 144267

GCF of denominators i.e. for 979,6394 is 1.

Thus, LCM of Fractions is 144267.Finally, LCM of Fractions for 57/979, 7593/6394 is 144267.