Least Common Multiple of 36/49, 21/40, 24/56, 27/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/49, 21/40, 24/56, 27/904 quickly i.e. 1512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/49, 21/40, 24/56, 27/904 is 1512.

LCM(36/49, 21/40, 24/56, 27/904) = 1512

LCM of 36/49, 21/40, 24/56, 27/904

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 36/49,21/40,24/56,27/904

Given numbers are 36/49,21/40,24/56,27/904

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 36,21,24,27

Least Common Multiple of Numerators i.e. LCM of 36,21,24,27 is 1512.

GCF of Denominators means GCF of 49,40,56,904 as per the given fractions.

GCF of 49,40,56,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,21,24,27

LCM of Fractions 36/49,21/40,24/56,27/904 is 1512

2 36, 21, 24, 27
2 18, 21, 12, 27
3 9, 21, 6, 27
3 3, 7, 2, 9
1, 7, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 2 x 3 = 1512

Least Common Multiple of 36,21,24,27 with GCF Formula

Least Common Multiple of 36,21,24,27 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 36,21,24,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,21,24,27) = 3

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

GCF(36,21,24,27) x common factors =3 x 108 = 324

LCM(36,21,24,27) = ( 36 × 21 × 24 × 27 ) / 324

LCM(36,21,24,27) = 489888 / 324

LCM(36,21,24,27) = 1512


Lets's calculate GCF of 49,40,56,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1512/1

Therefore the LCM of Fractions 36/49,21/40,24/56,27/904 is 1512

Greatest Common Factor of 49,40,56,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,40,56,904 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 49,40,56,904 . The biggest common factor number is the GCF number.
So the greatest common factor 49,40,56,904 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 36/49, 21/40, 24/56, 27/904

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 36/49, 21/40, 24/56, 27/904?

Answer: LCM of Numerators as per given numbers 36/49, 21/40, 24/56, 27/904 is

LCM of Numerators i.e. for 36,21,24,27 is 1512

GCF of denominators i.e. for 49,40,56,904 is 1.

Thus, LCM of Fractions is 1512.Finally, LCM of Fractions for 36/49, 21/40, 24/56, 27/904 is 1512.