Least Common Multiple of 52/242, 765/301, 975/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/242, 765/301, 975/520 quickly i.e. 198900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/242, 765/301, 975/520 is 198900.

LCM(52/242, 765/301, 975/520) = 198900

LCM of 52/242, 765/301, 975/520

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 52/242,765/301,975/520

Given numbers are 52/242,765/301,975/520

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 52,765,975

Least Common Multiple of Numerators i.e. LCM of 52,765,975 is 198900.

GCF of Denominators means GCF of 242,301,520 as per the given fractions.

GCF of 242,301,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,765,975

LCM of Fractions 52/242,765/301,975/520 is 198900

3 52, 765, 975
5 52, 255, 325
13 52, 51, 65
4, 51, 5

∴ So the LCM of the given numbers is 3 x 5 x 13 x 4 x 51 x 5 = 198900

Least Common Multiple of 52,765,975 with GCF Formula

Least Common Multiple of 52,765,975 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 52,765,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,765,975) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(52,765,975) x common factors =1 x 195 = 195

LCM(52,765,975) = ( 52 × 765 × 975 ) / 195

LCM(52,765,975) = 38785500 / 195

LCM(52,765,975) = 198900


Lets's calculate GCF of 242,301,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198900/1

Therefore the LCM of Fractions 52/242,765/301,975/520 is 198900

Greatest Common Factor of 242,301,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,301,520 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 242,301,520 . The biggest common factor number is the GCF number.
So the greatest common factor 242,301,520 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 52/242, 765/301, 975/520

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 52/242, 765/301, 975/520?

Answer: LCM of Numerators as per given numbers 52/242, 765/301, 975/520 is

LCM of Numerators i.e. for 52,765,975 is 198900

GCF of denominators i.e. for 242,301,520 is 1.

Thus, LCM of Fractions is 198900.Finally, LCM of Fractions for 52/242, 765/301, 975/520 is 198900.