Least Common Multiple of 27/39, 99/42, 81/52, 12/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/39, 99/42, 81/52, 12/941 quickly i.e. 3564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/39, 99/42, 81/52, 12/941 is 3564.

LCM(27/39, 99/42, 81/52, 12/941) = 3564

LCM of 27/39, 99/42, 81/52, 12/941

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 27/39,99/42,81/52,12/941

Given numbers are 27/39,99/42,81/52,12/941

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 27,99,81,12

Least Common Multiple of Numerators i.e. LCM of 27,99,81,12 is 3564.

GCF of Denominators means GCF of 39,42,52,941 as per the given fractions.

GCF of 39,42,52,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,99,81,12

LCM of Fractions 27/39,99/42,81/52,12/941 is 3564

3 27, 99, 81, 12
3 9, 33, 27, 4
3 3, 11, 9, 4
1, 11, 3, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 11 x 3 x 4 = 3564

Least Common Multiple of 27,99,81,12 with GCF Formula

Least Common Multiple of 27,99,81,12 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 27,99,81,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,99,81,12) = 3

common factors(in case of two or more numbers have common factors) = 243

GCF(27,99,81,12) x common factors =3 x 243 = 729

LCM(27,99,81,12) = ( 27 × 99 × 81 × 12 ) / 729

LCM(27,99,81,12) = 2598156 / 729

LCM(27,99,81,12) = 3564


Lets's calculate GCF of 39,42,52,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3564/1

Therefore the LCM of Fractions 27/39,99/42,81/52,12/941 is 3564

Greatest Common Factor of 39,42,52,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,42,52,941 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 39,42,52,941 . The biggest common factor number is the GCF number.
So the greatest common factor 39,42,52,941 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 27/39, 99/42, 81/52, 12/941

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 27/39, 99/42, 81/52, 12/941?

Answer: LCM of Numerators as per given numbers 27/39, 99/42, 81/52, 12/941 is

LCM of Numerators i.e. for 27,99,81,12 is 3564

GCF of denominators i.e. for 39,42,52,941 is 1.

Thus, LCM of Fractions is 3564.Finally, LCM of Fractions for 27/39, 99/42, 81/52, 12/941 is 3564.