Least Common Multiple of 96/117, 21/867, 119/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/117, 21/867, 119/468 quickly i.e. 3808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/117, 21/867, 119/468 is 3808.

LCM(96/117, 21/867, 119/468) = 3808

LCM of 96/117, 21/867, 119/468

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 96/117,21/867,119/468

Given numbers are 96/117,21/867,119/468

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 96,21,119

Least Common Multiple of Numerators i.e. LCM of 96,21,119 is 11424.

GCF of Denominators means GCF of 117,867,468 as per the given fractions.

GCF of 117,867,468 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,21,119

LCM of Fractions 96/117,21/867,119/468 is 3808

3 96, 21, 119
7 32, 7, 119
32, 1, 17

∴ So the LCM of the given numbers is 3 x 7 x 32 x 1 x 17 = 11424

Least Common Multiple of 96,21,119 with GCF Formula

Least Common Multiple of 96,21,119 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 96,21,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,21,119) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(96,21,119) x common factors =1 x 21 = 21

LCM(96,21,119) = ( 96 × 21 × 119 ) / 21

LCM(96,21,119) = 239904 / 21

LCM(96,21,119) = 11424


Lets's calculate GCF of 117,867,468

3 117, 867, 468
39, 289, 156

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11424/3

Therefore the LCM of Fractions 96/117,21/867,119/468 is 3808

Greatest Common Factor of 117,867,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,867,468 By Matching Biggest Common Factor Method

Factors of 117

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

1,3,9,13,39,117

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 117,867,468 . The biggest common factor number is the GCF number.
So the greatest common factor 117,867,468 is 3.


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 96/117, 21/867, 119/468

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 96/117, 21/867, 119/468?

Answer: LCM of Numerators as per given numbers 96/117, 21/867, 119/468 is

LCM of Numerators i.e. for 96,21,119 is 11424

GCF of denominators i.e. for 117,867,468 is 3.

Thus, LCM of Fractions is 3808.Finally, LCM of Fractions for 96/117, 21/867, 119/468 is 3808.