Least Common Multiple of 21/56, 41/79, 26/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/56, 41/79, 26/713 quickly i.e. 22386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/56, 41/79, 26/713 is 22386.

LCM(21/56, 41/79, 26/713) = 22386

LCM of 21/56, 41/79, 26/713

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 21/56,41/79,26/713

Given numbers are 21/56,41/79,26/713

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 21,41,26

Least Common Multiple of Numerators i.e. LCM of 21,41,26 is 22386.

GCF of Denominators means GCF of 56,79,713 as per the given fractions.

GCF of 56,79,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,41,26

LCM of Fractions 21/56,41/79,26/713 is 22386

Given numbers has no common factors except 1. So, there LCM is their product i.e 22386

Least Common Multiple of 21,41,26 with GCF Formula

Least Common Multiple of 21,41,26 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 21,41,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,41,26) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,41,26) x common factors =1 x 1 = 1

LCM(21,41,26) = ( 21 × 41 × 26 ) / 1

LCM(21,41,26) = 22386 / 1

LCM(21,41,26) = 22386


Lets's calculate GCF of 56,79,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22386/1

Therefore the LCM of Fractions 21/56,41/79,26/713 is 22386

Greatest Common Factor of 56,79,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,79,713 By Matching Biggest Common Factor Method

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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 56,79,713 . The biggest common factor number is the GCF number.
So the greatest common factor 56,79,713 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 21/56, 41/79, 26/713

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 21/56, 41/79, 26/713?

Answer: LCM of Numerators as per given numbers 21/56, 41/79, 26/713 is

LCM of Numerators i.e. for 21,41,26 is 22386

GCF of denominators i.e. for 56,79,713 is 1.

Thus, LCM of Fractions is 22386.Finally, LCM of Fractions for 21/56, 41/79, 26/713 is 22386.