Least Common Multiple of 78/13, 50/47, 20/20, 22/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/13, 50/47, 20/20, 22/638 quickly i.e. 42900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/13, 50/47, 20/20, 22/638 is 42900.

LCM(78/13, 50/47, 20/20, 22/638) = 42900

LCM of 78/13, 50/47, 20/20, 22/638

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 78/13,50/47,20/20,22/638

Given numbers are 78/13,50/47,20/20,22/638

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 78,50,20,22

Least Common Multiple of Numerators i.e. LCM of 78,50,20,22 is 42900.

GCF of Denominators means GCF of 13,47,20,638 as per the given fractions.

GCF of 13,47,20,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,50,20,22

LCM of Fractions 78/13,50/47,20/20,22/638 is 42900

2 78, 50, 20, 22
5 39, 25, 10, 11
39, 5, 2, 11

∴ So the LCM of the given numbers is 2 x 5 x 39 x 5 x 2 x 11 = 42900

Least Common Multiple of 78,50,20,22 with GCF Formula

Least Common Multiple of 78,50,20,22 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 78,50,20,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,50,20,22) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(78,50,20,22) x common factors =2 x 20 = 40

LCM(78,50,20,22) = ( 78 × 50 × 20 × 22 ) / 40

LCM(78,50,20,22) = 1716000 / 40

LCM(78,50,20,22) = 42900


Lets's calculate GCF of 13,47,20,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42900/1

Therefore the LCM of Fractions 78/13,50/47,20/20,22/638 is 42900

Greatest Common Factor of 13,47,20,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,47,20,638 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 20

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

1,2,4,5,10,20

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 13,47,20,638 . The biggest common factor number is the GCF number.
So the greatest common factor 13,47,20,638 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 78/13, 50/47, 20/20, 22/638

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 78/13, 50/47, 20/20, 22/638?

Answer: LCM of Numerators as per given numbers 78/13, 50/47, 20/20, 22/638 is

LCM of Numerators i.e. for 78,50,20,22 is 42900

GCF of denominators i.e. for 13,47,20,638 is 1.

Thus, LCM of Fractions is 42900.Finally, LCM of Fractions for 78/13, 50/47, 20/20, 22/638 is 42900.