Least Common Multiple of 131/13, 903/20, 204/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 131/13, 903/20, 204/301 quickly i.e. 8043924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/13, 903/20, 204/301 is 8043924.

LCM(131/13, 903/20, 204/301) = 8043924

LCM of 131/13, 903/20, 204/301

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 131/13,903/20,204/301

Given numbers are 131/13,903/20,204/301

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 131,903,204

Least Common Multiple of Numerators i.e. LCM of 131,903,204 is 8043924.

GCF of Denominators means GCF of 13,20,301 as per the given fractions.

GCF of 13,20,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,903,204

LCM of Fractions 131/13,903/20,204/301 is 8043924

3 131, 903, 204
131, 301, 68

∴ So the LCM of the given numbers is 3 x 131 x 301 x 68 = 8043924

Least Common Multiple of 131,903,204 with GCF Formula

Least Common Multiple of 131,903,204 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 131,903,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,903,204) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(131,903,204) x common factors =1 x 3 = 3

LCM(131,903,204) = ( 131 × 903 × 204 ) / 3

LCM(131,903,204) = 24131772 / 3

LCM(131,903,204) = 8043924


Lets's calculate GCF of 13,20,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8043924/1

Therefore the LCM of Fractions 131/13,903/20,204/301 is 8043924

Greatest Common Factor of 13,20,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,20,301 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 20

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

1,2,4,5,10,20

Factors of 301

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

1,7,43,301

Greatest Common Factor

We found the factors 13,20,301 . The biggest common factor number is the GCF number.
So the greatest common factor 13,20,301 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 131/13, 903/20, 204/301

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 131/13, 903/20, 204/301?

Answer: LCM of Numerators as per given numbers 131/13, 903/20, 204/301 is

LCM of Numerators i.e. for 131,903,204 is 8043924

GCF of denominators i.e. for 13,20,301 is 1.

Thus, LCM of Fractions is 8043924.Finally, LCM of Fractions for 131/13, 903/20, 204/301 is 8043924.