Least Common Multiple of 24/157, 9524/6009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/157, 9524/6009 quickly i.e. 57144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/157, 9524/6009 is 57144.

LCM(24/157, 9524/6009) = 57144

LCM of 24/157, 9524/6009

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 24/157,9524/6009

Given numbers are 24/157,9524/6009

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 24,9524

Least Common Multiple of Numerators i.e. LCM of 24,9524 is 57144.

GCF of Denominators means GCF of 157,6009 as per the given fractions.

GCF of 157,6009 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,9524

LCM of Fractions 24/157,9524/6009 is 57144

2 24, 9524
2 12, 4762
6, 2381

∴ So the LCM of the given numbers is 2 x 2 x 6 x 2381 = 57144

Least Common Multiple of 24,9524 with GCF Formula

Least Common Multiple of 24,9524 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 24,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,9524) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(24,9524) x common factors =4 x 1 = 4

LCM(24,9524) = ( 24 × 9524 ) / 4

LCM(24,9524) = 228576 / 4

LCM(24,9524) = 57144


Lets's calculate GCF of 157,6009

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57144/1

Therefore the LCM of Fractions 24/157,9524/6009 is 57144

Greatest Common Factor of 157,6009 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,6009 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Greatest Common Factor

We found the factors 157,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 157,6009 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 24/157, 9524/6009

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 24/157, 9524/6009?

Answer: LCM of Numerators as per given numbers 24/157, 9524/6009 is

LCM of Numerators i.e. for 24,9524 is 57144

GCF of denominators i.e. for 157,6009 is 1.

Thus, LCM of Fractions is 57144.Finally, LCM of Fractions for 24/157, 9524/6009 is 57144.