Least Common Multiple of 96/95, 28/117, 931/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/95, 28/117, 931/961 quickly i.e. 89376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/95, 28/117, 931/961 is 89376.

LCM(96/95, 28/117, 931/961) = 89376

LCM of 96/95, 28/117, 931/961

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 96/95,28/117,931/961

Given numbers are 96/95,28/117,931/961

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 96,28,931

Least Common Multiple of Numerators i.e. LCM of 96,28,931 is 89376.

GCF of Denominators means GCF of 95,117,961 as per the given fractions.

GCF of 95,117,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,28,931

LCM of Fractions 96/95,28/117,931/961 is 89376

2 96, 28, 931
2 48, 14, 931
7 24, 7, 931
24, 1, 133

∴ So the LCM of the given numbers is 2 x 2 x 7 x 24 x 1 x 133 = 89376

Least Common Multiple of 96,28,931 with GCF Formula

Least Common Multiple of 96,28,931 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 96,28,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,28,931) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(96,28,931) x common factors =1 x 28 = 28

LCM(96,28,931) = ( 96 × 28 × 931 ) / 28

LCM(96,28,931) = 2502528 / 28

LCM(96,28,931) = 89376


Lets's calculate GCF of 95,117,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89376/1

Therefore the LCM of Fractions 96/95,28/117,931/961 is 89376

Greatest Common Factor of 95,117,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,117,961 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 117

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

1,3,9,13,39,117

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 95,117,961 . The biggest common factor number is the GCF number.
So the greatest common factor 95,117,961 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 96/95, 28/117, 931/961

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 96/95, 28/117, 931/961?

Answer: LCM of Numerators as per given numbers 96/95, 28/117, 931/961 is

LCM of Numerators i.e. for 96,28,931 is 89376

GCF of denominators i.e. for 95,117,961 is 1.

Thus, LCM of Fractions is 89376.Finally, LCM of Fractions for 96/95, 28/117, 931/961 is 89376.