Least Common Multiple of 27/422, 324/512, 108/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/422, 324/512, 108/623 quickly i.e. 324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/422, 324/512, 108/623 is 324.

LCM(27/422, 324/512, 108/623) = 324

LCM of 27/422, 324/512, 108/623

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 27/422,324/512,108/623

Given numbers are 27/422,324/512,108/623

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 27,324,108

Least Common Multiple of Numerators i.e. LCM of 27,324,108 is 324.

GCF of Denominators means GCF of 422,512,623 as per the given fractions.

GCF of 422,512,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,324,108

LCM of Fractions 27/422,324/512,108/623 is 324

2 27, 324, 108
2 27, 162, 54
3 27, 81, 27
3 9, 9, 27
3 3, 3, 9
1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 1 x 3 = 324

Least Common Multiple of 27,324,108 with GCF Formula

Least Common Multiple of 27,324,108 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 27,324,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,324,108) = 27

common factors(in case of two or more numbers have common factors) = 108

GCF(27,324,108) x common factors =27 x 108 = 2916

LCM(27,324,108) = ( 27 × 324 × 108 ) / 2916

LCM(27,324,108) = 944784 / 2916

LCM(27,324,108) = 324


Lets's calculate GCF of 422,512,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324/1

Therefore the LCM of Fractions 27/422,324/512,108/623 is 324

Greatest Common Factor of 422,512,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,512,623 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 422,512,623 . The biggest common factor number is the GCF number.
So the greatest common factor 422,512,623 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 27/422, 324/512, 108/623

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 27/422, 324/512, 108/623?

Answer: LCM of Numerators as per given numbers 27/422, 324/512, 108/623 is

LCM of Numerators i.e. for 27,324,108 is 324

GCF of denominators i.e. for 422,512,623 is 1.

Thus, LCM of Fractions is 324.Finally, LCM of Fractions for 27/422, 324/512, 108/623 is 324.