Least Common Multiple of 540/94, 384/32, 180/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/94, 384/32, 180/864 quickly i.e. 8640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/94, 384/32, 180/864 is 8640.

LCM(540/94, 384/32, 180/864) = 8640

LCM of 540/94, 384/32, 180/864

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 540/94,384/32,180/864

Given numbers are 540/94,384/32,180/864

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 540,384,180

Least Common Multiple of Numerators i.e. LCM of 540,384,180 is 17280.

GCF of Denominators means GCF of 94,32,864 as per the given fractions.

GCF of 94,32,864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,384,180

LCM of Fractions 540/94,384/32,180/864 is 8640

2 540, 384, 180
2 270, 192, 90
3 135, 96, 45
3 15, 32, 45
5 5, 32, 15
1, 32, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 32 x 3 = 17280

Least Common Multiple of 540,384,180 with GCF Formula

Least Common Multiple of 540,384,180 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 540,384,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,384,180) = 12

common factors(in case of two or more numbers have common factors) = 180

GCF(540,384,180) x common factors =12 x 180 = 2160

LCM(540,384,180) = ( 540 × 384 × 180 ) / 2160

LCM(540,384,180) = 37324800 / 2160

LCM(540,384,180) = 17280


Lets's calculate GCF of 94,32,864

2 94, 32, 864
47, 16, 432

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17280/2

Therefore the LCM of Fractions 540/94,384/32,180/864 is 8640

Greatest Common Factor of 94,32,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,32,864 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 94,32,864 . The biggest common factor number is the GCF number.
So the greatest common factor 94,32,864 is 2.


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 540/94, 384/32, 180/864

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 540/94, 384/32, 180/864?

Answer: LCM of Numerators as per given numbers 540/94, 384/32, 180/864 is

LCM of Numerators i.e. for 540,384,180 is 17280

GCF of denominators i.e. for 94,32,864 is 2.

Thus, LCM of Fractions is 8640.Finally, LCM of Fractions for 540/94, 384/32, 180/864 is 8640.