Least Common Multiple of 27/168, 12/509, 243/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/168, 12/509, 243/132 quickly i.e. 972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/168, 12/509, 243/132 is 972.

LCM(27/168, 12/509, 243/132) = 972

LCM of 27/168, 12/509, 243/132

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 27/168,12/509,243/132

Given numbers are 27/168,12/509,243/132

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 27,12,243

Least Common Multiple of Numerators i.e. LCM of 27,12,243 is 972.

GCF of Denominators means GCF of 168,509,132 as per the given fractions.

GCF of 168,509,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,12,243

LCM of Fractions 27/168,12/509,243/132 is 972

3 27, 12, 243
3 9, 4, 81
3 3, 4, 27
1, 4, 9

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 4 x 9 = 972

Least Common Multiple of 27,12,243 with GCF Formula

Least Common Multiple of 27,12,243 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 27,12,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,12,243) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(27,12,243) x common factors =3 x 27 = 81

LCM(27,12,243) = ( 27 × 12 × 243 ) / 81

LCM(27,12,243) = 78732 / 81

LCM(27,12,243) = 972


Lets's calculate GCF of 168,509,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972/1

Therefore the LCM of Fractions 27/168,12/509,243/132 is 972

Greatest Common Factor of 168,509,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,509,132 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 168,509,132 . The biggest common factor number is the GCF number.
So the greatest common factor 168,509,132 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 27/168, 12/509, 243/132

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 27/168, 12/509, 243/132?

Answer: LCM of Numerators as per given numbers 27/168, 12/509, 243/132 is

LCM of Numerators i.e. for 27,12,243 is 972

GCF of denominators i.e. for 168,509,132 is 1.

Thus, LCM of Fractions is 972.Finally, LCM of Fractions for 27/168, 12/509, 243/132 is 972.