Least Common Multiple of 766/78, 139/43, 979/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/78, 139/43, 979/117 quickly i.e. 104238046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/78, 139/43, 979/117 is 104238046.

LCM(766/78, 139/43, 979/117) = 104238046

LCM of 766/78, 139/43, 979/117

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 766/78,139/43,979/117

Given numbers are 766/78,139/43,979/117

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 766,139,979

Least Common Multiple of Numerators i.e. LCM of 766,139,979 is 104238046.

GCF of Denominators means GCF of 78,43,117 as per the given fractions.

GCF of 78,43,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,139,979

LCM of Fractions 766/78,139/43,979/117 is 104238046

Given numbers has no common factors except 1. So, there LCM is their product i.e 104238046

Least Common Multiple of 766,139,979 with GCF Formula

Least Common Multiple of 766,139,979 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 766,139,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,139,979) = 1

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

GCF(766,139,979) x common factors =1 x 1 = 1

LCM(766,139,979) = ( 766 × 139 × 979 ) / 1

LCM(766,139,979) = 104238046 / 1

LCM(766,139,979) = 104238046


Lets's calculate GCF of 78,43,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104238046/1

Therefore the LCM of Fractions 766/78,139/43,979/117 is 104238046

Greatest Common Factor of 78,43,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,43,117 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 78,43,117 . The biggest common factor number is the GCF number.
So the greatest common factor 78,43,117 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 766/78, 139/43, 979/117

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 766/78, 139/43, 979/117?

Answer: LCM of Numerators as per given numbers 766/78, 139/43, 979/117 is

LCM of Numerators i.e. for 766,139,979 is 104238046

GCF of denominators i.e. for 78,43,117 is 1.

Thus, LCM of Fractions is 104238046.Finally, LCM of Fractions for 766/78, 139/43, 979/117 is 104238046.