Least Common Multiple of 96/120, 96/359, 752/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/120, 96/359, 752/531 quickly i.e. 4512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/120, 96/359, 752/531 is 4512.

LCM(96/120, 96/359, 752/531) = 4512

LCM of 96/120, 96/359, 752/531

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 96/120,96/359,752/531

Given numbers are 96/120,96/359,752/531

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 96,96,752

Least Common Multiple of Numerators i.e. LCM of 96,96,752 is 4512.

GCF of Denominators means GCF of 120,359,531 as per the given fractions.

GCF of 120,359,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,96,752

LCM of Fractions 96/120,96/359,752/531 is 4512

2 96, 96, 752
2 48, 48, 376
2 24, 24, 188
2 12, 12, 94
2 6, 6, 47
3 3, 3, 47
1, 1, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 47 = 4512

Least Common Multiple of 96,96,752 with GCF Formula

Least Common Multiple of 96,96,752 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 96,96,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,96,752) = 16

common factors(in case of two or more numbers have common factors) = 96

GCF(96,96,752) x common factors =16 x 96 = 1536

LCM(96,96,752) = ( 96 × 96 × 752 ) / 1536

LCM(96,96,752) = 6930432 / 1536

LCM(96,96,752) = 4512


Lets's calculate GCF of 120,359,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4512/1

Therefore the LCM of Fractions 96/120,96/359,752/531 is 4512

Greatest Common Factor of 120,359,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,359,531 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 120,359,531 . The biggest common factor number is the GCF number.
So the greatest common factor 120,359,531 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 96/120, 96/359, 752/531

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 96/120, 96/359, 752/531?

Answer: LCM of Numerators as per given numbers 96/120, 96/359, 752/531 is

LCM of Numerators i.e. for 96,96,752 is 4512

GCF of denominators i.e. for 120,359,531 is 1.

Thus, LCM of Fractions is 4512.Finally, LCM of Fractions for 96/120, 96/359, 752/531 is 4512.