Least Common Multiple of 968/42, 136/83, 779/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/42, 136/83, 779/679 quickly i.e. 12819224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/42, 136/83, 779/679 is 12819224.

LCM(968/42, 136/83, 779/679) = 12819224

LCM of 968/42, 136/83, 779/679

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 968/42,136/83,779/679

Given numbers are 968/42,136/83,779/679

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 968,136,779

Least Common Multiple of Numerators i.e. LCM of 968,136,779 is 12819224.

GCF of Denominators means GCF of 42,83,679 as per the given fractions.

GCF of 42,83,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,136,779

LCM of Fractions 968/42,136/83,779/679 is 12819224

2 968, 136, 779
2 484, 68, 779
2 242, 34, 779
121, 17, 779

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 17 x 779 = 12819224

Least Common Multiple of 968,136,779 with GCF Formula

Least Common Multiple of 968,136,779 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 968,136,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,136,779) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(968,136,779) x common factors =1 x 8 = 8

LCM(968,136,779) = ( 968 × 136 × 779 ) / 8

LCM(968,136,779) = 102553792 / 8

LCM(968,136,779) = 12819224


Lets's calculate GCF of 42,83,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12819224/1

Therefore the LCM of Fractions 968/42,136/83,779/679 is 12819224

Greatest Common Factor of 42,83,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,83,679 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 42,83,679 . The biggest common factor number is the GCF number.
So the greatest common factor 42,83,679 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 968/42, 136/83, 779/679

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 968/42, 136/83, 779/679?

Answer: LCM of Numerators as per given numbers 968/42, 136/83, 779/679 is

LCM of Numerators i.e. for 968,136,779 is 12819224

GCF of denominators i.e. for 42,83,679 is 1.

Thus, LCM of Fractions is 12819224.Finally, LCM of Fractions for 968/42, 136/83, 779/679 is 12819224.