Least Common Multiple of 647/20, 422/98, 564/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 647/20, 422/98, 564/116 quickly i.e. 38497794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/20, 422/98, 564/116 is 38497794.

LCM(647/20, 422/98, 564/116) = 38497794

LCM of 647/20, 422/98, 564/116

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 647/20,422/98,564/116

Given numbers are 647/20,422/98,564/116

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 647,422,564

Least Common Multiple of Numerators i.e. LCM of 647,422,564 is 76995588.

GCF of Denominators means GCF of 20,98,116 as per the given fractions.

GCF of 20,98,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,422,564

LCM of Fractions 647/20,422/98,564/116 is 38497794

2 647, 422, 564
647, 211, 282

∴ So the LCM of the given numbers is 2 x 647 x 211 x 282 = 76995588

Least Common Multiple of 647,422,564 with GCF Formula

Least Common Multiple of 647,422,564 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 647,422,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,422,564) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(647,422,564) x common factors =1 x 2 = 2

LCM(647,422,564) = ( 647 × 422 × 564 ) / 2

LCM(647,422,564) = 153991176 / 2

LCM(647,422,564) = 76995588


Lets's calculate GCF of 20,98,116

2 20, 98, 116
10, 49, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76995588/2

Therefore the LCM of Fractions 647/20,422/98,564/116 is 38497794

Greatest Common Factor of 20,98,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,98,116 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 20,98,116 . The biggest common factor number is the GCF number.
So the greatest common factor 20,98,116 is 2.


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 647/20, 422/98, 564/116

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 647/20, 422/98, 564/116?

Answer: LCM of Numerators as per given numbers 647/20, 422/98, 564/116 is

LCM of Numerators i.e. for 647,422,564 is 76995588

GCF of denominators i.e. for 20,98,116 is 2.

Thus, LCM of Fractions is 38497794.Finally, LCM of Fractions for 647/20, 422/98, 564/116 is 38497794.