Least Common Multiple of 71/73, 21/57, 79/63, 56/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/73, 21/57, 79/63, 56/520 quickly i.e. 942312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/73, 21/57, 79/63, 56/520 is 942312.

LCM(71/73, 21/57, 79/63, 56/520) = 942312

LCM of 71/73, 21/57, 79/63, 56/520

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 71/73,21/57,79/63,56/520

Given numbers are 71/73,21/57,79/63,56/520

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 71,21,79,56

Least Common Multiple of Numerators i.e. LCM of 71,21,79,56 is 942312.

GCF of Denominators means GCF of 73,57,63,520 as per the given fractions.

GCF of 73,57,63,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,21,79,56

LCM of Fractions 71/73,21/57,79/63,56/520 is 942312

7 71, 21, 79, 56
71, 3, 79, 8

∴ So the LCM of the given numbers is 7 x 71 x 3 x 79 x 8 = 942312

Least Common Multiple of 71,21,79,56 with GCF Formula

Least Common Multiple of 71,21,79,56 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 71,21,79,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,21,79,56) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(71,21,79,56) x common factors =1 x 7 = 7

LCM(71,21,79,56) = ( 71 × 21 × 79 × 56 ) / 7

LCM(71,21,79,56) = 6596184 / 7

LCM(71,21,79,56) = 942312


Lets's calculate GCF of 73,57,63,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 942312/1

Therefore the LCM of Fractions 71/73,21/57,79/63,56/520 is 942312

Greatest Common Factor of 73,57,63,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,57,63,520 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 73,57,63,520 . The biggest common factor number is the GCF number.
So the greatest common factor 73,57,63,520 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 71/73, 21/57, 79/63, 56/520

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 71/73, 21/57, 79/63, 56/520?

Answer: LCM of Numerators as per given numbers 71/73, 21/57, 79/63, 56/520 is

LCM of Numerators i.e. for 71,21,79,56 is 942312

GCF of denominators i.e. for 73,57,63,520 is 1.

Thus, LCM of Fractions is 942312.Finally, LCM of Fractions for 71/73, 21/57, 79/63, 56/520 is 942312.