Least Common Multiple of 57/663, 89/130, 779/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/663, 89/130, 779/168 quickly i.e. 207993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/663, 89/130, 779/168 is 207993.

LCM(57/663, 89/130, 779/168) = 207993

LCM of 57/663, 89/130, 779/168

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 57/663,89/130,779/168

Given numbers are 57/663,89/130,779/168

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 57,89,779

Least Common Multiple of Numerators i.e. LCM of 57,89,779 is 207993.

GCF of Denominators means GCF of 663,130,168 as per the given fractions.

GCF of 663,130,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,89,779

LCM of Fractions 57/663,89/130,779/168 is 207993

19 57, 89, 779
3, 89, 41

∴ So the LCM of the given numbers is 19 x 3 x 89 x 41 = 207993

Least Common Multiple of 57,89,779 with GCF Formula

Least Common Multiple of 57,89,779 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 57,89,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,89,779) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,89,779) x common factors =1 x 19 = 19

LCM(57,89,779) = ( 57 × 89 × 779 ) / 19

LCM(57,89,779) = 3951867 / 19

LCM(57,89,779) = 207993


Lets's calculate GCF of 663,130,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207993/1

Therefore the LCM of Fractions 57/663,89/130,779/168 is 207993

Greatest Common Factor of 663,130,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,130,168 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 663,130,168 . The biggest common factor number is the GCF number.
So the greatest common factor 663,130,168 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 57/663, 89/130, 779/168

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 57/663, 89/130, 779/168?

Answer: LCM of Numerators as per given numbers 57/663, 89/130, 779/168 is

LCM of Numerators i.e. for 57,89,779 is 207993

GCF of denominators i.e. for 663,130,168 is 1.

Thus, LCM of Fractions is 207993.Finally, LCM of Fractions for 57/663, 89/130, 779/168 is 207993.