Least Common Multiple of 53/38, 56/12, 72/89, 21/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/38, 56/12, 72/89, 21/291 quickly i.e. 26712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/38, 56/12, 72/89, 21/291 is 26712.

LCM(53/38, 56/12, 72/89, 21/291) = 26712

LCM of 53/38, 56/12, 72/89, 21/291

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 53/38,56/12,72/89,21/291

Given numbers are 53/38,56/12,72/89,21/291

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 53,56,72,21

Least Common Multiple of Numerators i.e. LCM of 53,56,72,21 is 26712.

GCF of Denominators means GCF of 38,12,89,291 as per the given fractions.

GCF of 38,12,89,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,56,72,21

LCM of Fractions 53/38,56/12,72/89,21/291 is 26712

2 53, 56, 72, 21
2 53, 28, 36, 21
2 53, 14, 18, 21
3 53, 7, 9, 21
7 53, 7, 3, 7
53, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 53 x 1 x 3 x 1 = 26712

Least Common Multiple of 53,56,72,21 with GCF Formula

Least Common Multiple of 53,56,72,21 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 53,56,72,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,56,72,21) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(53,56,72,21) x common factors =1 x 168 = 168

LCM(53,56,72,21) = ( 53 × 56 × 72 × 21 ) / 168

LCM(53,56,72,21) = 4487616 / 168

LCM(53,56,72,21) = 26712


Lets's calculate GCF of 38,12,89,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26712/1

Therefore the LCM of Fractions 53/38,56/12,72/89,21/291 is 26712

Greatest Common Factor of 38,12,89,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,12,89,291 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 38,12,89,291 . The biggest common factor number is the GCF number.
So the greatest common factor 38,12,89,291 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 53/38, 56/12, 72/89, 21/291

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 53/38, 56/12, 72/89, 21/291?

Answer: LCM of Numerators as per given numbers 53/38, 56/12, 72/89, 21/291 is

LCM of Numerators i.e. for 53,56,72,21 is 26712

GCF of denominators i.e. for 38,12,89,291 is 1.

Thus, LCM of Fractions is 26712.Finally, LCM of Fractions for 53/38, 56/12, 72/89, 21/291 is 26712.