Least Common Multiple of 96/979, 11/973, 109/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/979, 11/973, 109/866 quickly i.e. 115104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/979, 11/973, 109/866 is 115104.

LCM(96/979, 11/973, 109/866) = 115104

LCM of 96/979, 11/973, 109/866

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 96/979,11/973,109/866

Given numbers are 96/979,11/973,109/866

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 96,11,109

Least Common Multiple of Numerators i.e. LCM of 96,11,109 is 115104.

GCF of Denominators means GCF of 979,973,866 as per the given fractions.

GCF of 979,973,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,11,109

LCM of Fractions 96/979,11/973,109/866 is 115104

Given numbers has no common factors except 1. So, there LCM is their product i.e 115104

Least Common Multiple of 96,11,109 with GCF Formula

Least Common Multiple of 96,11,109 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 96,11,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,11,109) = 1

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

GCF(96,11,109) x common factors =1 x 1 = 1

LCM(96,11,109) = ( 96 × 11 × 109 ) / 1

LCM(96,11,109) = 115104 / 1

LCM(96,11,109) = 115104


Lets's calculate GCF of 979,973,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115104/1

Therefore the LCM of Fractions 96/979,11/973,109/866 is 115104

Greatest Common Factor of 979,973,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,973,866 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 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 979,973,866 . The biggest common factor number is the GCF number.
So the greatest common factor 979,973,866 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/979, 11/973, 109/866

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 96/979, 11/973, 109/866?

Answer: LCM of Numerators as per given numbers 96/979, 11/973, 109/866 is

LCM of Numerators i.e. for 96,11,109 is 115104

GCF of denominators i.e. for 979,973,866 is 1.

Thus, LCM of Fractions is 115104.Finally, LCM of Fractions for 96/979, 11/973, 109/866 is 115104.