Least Common Multiple of 96/31, 33/75, 72/50, 18/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/31, 33/75, 72/50, 18/122 quickly i.e. 3168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/31, 33/75, 72/50, 18/122 is 3168.

LCM(96/31, 33/75, 72/50, 18/122) = 3168

LCM of 96/31, 33/75, 72/50, 18/122

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 96/31,33/75,72/50,18/122

Given numbers are 96/31,33/75,72/50,18/122

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 96,33,72,18

Least Common Multiple of Numerators i.e. LCM of 96,33,72,18 is 3168.

GCF of Denominators means GCF of 31,75,50,122 as per the given fractions.

GCF of 31,75,50,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,33,72,18

LCM of Fractions 96/31,33/75,72/50,18/122 is 3168

2 96, 33, 72, 18
2 48, 33, 36, 9
2 24, 33, 18, 9
3 12, 33, 9, 9
3 4, 11, 3, 3
4, 11, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 11 x 1 x 1 = 3168

Least Common Multiple of 96,33,72,18 with GCF Formula

Least Common Multiple of 96,33,72,18 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 96,33,72,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,33,72,18) = 3

common factors(in case of two or more numbers have common factors) = 432

GCF(96,33,72,18) x common factors =3 x 432 = 1296

LCM(96,33,72,18) = ( 96 × 33 × 72 × 18 ) / 1296

LCM(96,33,72,18) = 4105728 / 1296

LCM(96,33,72,18) = 3168


Lets's calculate GCF of 31,75,50,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3168/1

Therefore the LCM of Fractions 96/31,33/75,72/50,18/122 is 3168

Greatest Common Factor of 31,75,50,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,75,50,122 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 31,75,50,122 . The biggest common factor number is the GCF number.
So the greatest common factor 31,75,50,122 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 96/31, 33/75, 72/50, 18/122

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 96/31, 33/75, 72/50, 18/122?

Answer: LCM of Numerators as per given numbers 96/31, 33/75, 72/50, 18/122 is

LCM of Numerators i.e. for 96,33,72,18 is 3168

GCF of denominators i.e. for 31,75,50,122 is 1.

Thus, LCM of Fractions is 3168.Finally, LCM of Fractions for 96/31, 33/75, 72/50, 18/122 is 3168.