Least Common Multiple of 96/24, 53/51, 33/22, 24/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/24, 53/51, 33/22, 24/376 quickly i.e. 55968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/24, 53/51, 33/22, 24/376 is 55968.

LCM(96/24, 53/51, 33/22, 24/376) = 55968

LCM of 96/24, 53/51, 33/22, 24/376

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 96/24,53/51,33/22,24/376

Given numbers are 96/24,53/51,33/22,24/376

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 96,53,33,24

Least Common Multiple of Numerators i.e. LCM of 96,53,33,24 is 55968.

GCF of Denominators means GCF of 24,51,22,376 as per the given fractions.

GCF of 24,51,22,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,53,33,24

LCM of Fractions 96/24,53/51,33/22,24/376 is 55968

2 96, 53, 33, 24
2 48, 53, 33, 12
2 24, 53, 33, 6
3 12, 53, 33, 3
4, 53, 11, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 53 x 11 x 1 = 55968

Least Common Multiple of 96,53,33,24 with GCF Formula

Least Common Multiple of 96,53,33,24 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 96,53,33,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,53,33,24) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(96,53,33,24) x common factors =1 x 72 = 72

LCM(96,53,33,24) = ( 96 × 53 × 33 × 24 ) / 72

LCM(96,53,33,24) = 4029696 / 72

LCM(96,53,33,24) = 55968


Lets's calculate GCF of 24,51,22,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55968/1

Therefore the LCM of Fractions 96/24,53/51,33/22,24/376 is 55968

Greatest Common Factor of 24,51,22,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,51,22,376 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 24,51,22,376 . The biggest common factor number is the GCF number.
So the greatest common factor 24,51,22,376 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 96/24, 53/51, 33/22, 24/376

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 96/24, 53/51, 33/22, 24/376?

Answer: LCM of Numerators as per given numbers 96/24, 53/51, 33/22, 24/376 is

LCM of Numerators i.e. for 96,53,33,24 is 55968

GCF of denominators i.e. for 24,51,22,376 is 1.

Thus, LCM of Fractions is 55968.Finally, LCM of Fractions for 96/24, 53/51, 33/22, 24/376 is 55968.