Least Common Multiple of 240/20, 961/5111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/20, 961/5111 quickly i.e. 230640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/20, 961/5111 is 230640.

LCM(240/20, 961/5111) = 230640

LCM of 240/20, 961/5111

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 240/20,961/5111

Given numbers are 240/20,961/5111

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 240,961

Least Common Multiple of Numerators i.e. LCM of 240,961 is 230640.

GCF of Denominators means GCF of 20,5111 as per the given fractions.

GCF of 20,5111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,961

LCM of Fractions 240/20,961/5111 is 230640

Given numbers has no common factors except 1. So, there LCM is their product i.e 230640

Least Common Multiple of 240,961 with GCF Formula

Least Common Multiple of 240,961 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 240,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,961) = 1

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

GCF(240,961) x common factors =1 x 1 = 1

LCM(240,961) = ( 240 × 961 ) / 1

LCM(240,961) = 230640 / 1

LCM(240,961) = 230640


Lets's calculate GCF of 20,5111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230640/1

Therefore the LCM of Fractions 240/20,961/5111 is 230640

Greatest Common Factor of 20,5111 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5111 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 5111

List of positive integer factors of 5111 that divides 5111 without a remainder.

1,19,269,5111

Greatest Common Factor

We found the factors 20,5111 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5111 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 240/20, 961/5111

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 240/20, 961/5111?

Answer: LCM of Numerators as per given numbers 240/20, 961/5111 is

LCM of Numerators i.e. for 240,961 is 230640

GCF of denominators i.e. for 20,5111 is 1.

Thus, LCM of Fractions is 230640.Finally, LCM of Fractions for 240/20, 961/5111 is 230640.