Least Common Multiple of 8640/75, 9024/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/75, 9024/327 quickly i.e. 135360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/75, 9024/327 is 135360.

LCM(8640/75, 9024/327) = 135360

LCM of 8640/75, 9024/327

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 8640/75,9024/327

Given numbers are 8640/75,9024/327

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 8640,9024

Least Common Multiple of Numerators i.e. LCM of 8640,9024 is 406080.

GCF of Denominators means GCF of 75,327 as per the given fractions.

GCF of 75,327 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,9024

LCM of Fractions 8640/75,9024/327 is 135360

2 8640, 9024
2 4320, 4512
2 2160, 2256
2 1080, 1128
2 540, 564
2 270, 282
3 135, 141
45, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 45 x 47 = 406080

Least Common Multiple of 8640,9024 with GCF Formula

Least Common Multiple of 8640,9024 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 8640,9024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,9024) = 192

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

GCF(8640,9024) x common factors =192 x 1 = 192

LCM(8640,9024) = ( 8640 × 9024 ) / 192

LCM(8640,9024) = 77967360 / 192

LCM(8640,9024) = 406080


Lets's calculate GCF of 75,327

3 75, 327
25, 109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406080/3

Therefore the LCM of Fractions 8640/75,9024/327 is 135360

Greatest Common Factor of 75,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,327 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 75,327 . The biggest common factor number is the GCF number.
So the greatest common factor 75,327 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 8640/75, 9024/327

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 8640/75, 9024/327?

Answer: LCM of Numerators as per given numbers 8640/75, 9024/327 is

LCM of Numerators i.e. for 8640,9024 is 406080

GCF of denominators i.e. for 75,327 is 3.

Thus, LCM of Fractions is 135360.Finally, LCM of Fractions for 8640/75, 9024/327 is 135360.