Least Common Multiple of 422/656, 563/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/656, 563/615 quickly i.e. 237586/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/656, 563/615 is 237586/41.

LCM(422/656, 563/615) = 237586/41

LCM of 422/656, 563/615

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 422/656,563/615

Given numbers are 422/656,563/615

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 422,563

Least Common Multiple of Numerators i.e. LCM of 422,563 is 237586.

GCF of Denominators means GCF of 656,615 as per the given fractions.

GCF of 656,615 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,563

LCM of Fractions 422/656,563/615 is 237586/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 237586

Least Common Multiple of 422,563 with GCF Formula

Least Common Multiple of 422,563 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 422,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,563) = 1

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

GCF(422,563) x common factors =1 x 1 = 1

LCM(422,563) = ( 422 × 563 ) / 1

LCM(422,563) = 237586 / 1

LCM(422,563) = 237586


Lets's calculate GCF of 656,615

41 656, 615
16, 15

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237586/41

Therefore the LCM of Fractions 422/656,563/615 is 237586/41

Greatest Common Factor of 656,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,615 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 656,615 . The biggest common factor number is the GCF number.
So the greatest common factor 656,615 is 41.


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 422/656, 563/615

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 422/656, 563/615?

Answer: LCM of Numerators as per given numbers 422/656, 563/615 is

LCM of Numerators i.e. for 422,563 is 237586

GCF of denominators i.e. for 656,615 is 41.

Thus, LCM of Fractions is 237586/41.Finally, LCM of Fractions for 422/656, 563/615 is 237586/41.