Least Common Multiple of 20/72, 417/42, 839/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/72, 417/42, 839/991 quickly i.e. 6997260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/72, 417/42, 839/991 is 6997260.

LCM(20/72, 417/42, 839/991) = 6997260

LCM of 20/72, 417/42, 839/991

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 20/72,417/42,839/991

Given numbers are 20/72,417/42,839/991

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 20,417,839

Least Common Multiple of Numerators i.e. LCM of 20,417,839 is 6997260.

GCF of Denominators means GCF of 72,42,991 as per the given fractions.

GCF of 72,42,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,417,839

LCM of Fractions 20/72,417/42,839/991 is 6997260

Given numbers has no common factors except 1. So, there LCM is their product i.e 6997260

Least Common Multiple of 20,417,839 with GCF Formula

Least Common Multiple of 20,417,839 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 20,417,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,417,839) = 1

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

GCF(20,417,839) x common factors =1 x 1 = 1

LCM(20,417,839) = ( 20 × 417 × 839 ) / 1

LCM(20,417,839) = 6997260 / 1

LCM(20,417,839) = 6997260


Lets's calculate GCF of 72,42,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6997260/1

Therefore the LCM of Fractions 20/72,417/42,839/991 is 6997260

Greatest Common Factor of 72,42,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,42,991 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 72,42,991 . The biggest common factor number is the GCF number.
So the greatest common factor 72,42,991 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 20/72, 417/42, 839/991

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 20/72, 417/42, 839/991?

Answer: LCM of Numerators as per given numbers 20/72, 417/42, 839/991 is

LCM of Numerators i.e. for 20,417,839 is 6997260

GCF of denominators i.e. for 72,42,991 is 1.

Thus, LCM of Fractions is 6997260.Finally, LCM of Fractions for 20/72, 417/42, 839/991 is 6997260.