Least Common Multiple of 5131/129, 9381/8405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5131/129, 9381/8405 quickly i.e. 48133911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5131/129, 9381/8405 is 48133911.

LCM(5131/129, 9381/8405) = 48133911

LCM of 5131/129, 9381/8405

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 5131/129,9381/8405

Given numbers are 5131/129,9381/8405

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 5131,9381

Least Common Multiple of Numerators i.e. LCM of 5131,9381 is 48133911.

GCF of Denominators means GCF of 129,8405 as per the given fractions.

GCF of 129,8405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5131,9381

LCM of Fractions 5131/129,9381/8405 is 48133911

Given numbers has no common factors except 1. So, there LCM is their product i.e 48133911

Least Common Multiple of 5131,9381 with GCF Formula

Least Common Multiple of 5131,9381 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 5131,9381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5131,9381) = 1

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

GCF(5131,9381) x common factors =1 x 1 = 1

LCM(5131,9381) = ( 5131 × 9381 ) / 1

LCM(5131,9381) = 48133911 / 1

LCM(5131,9381) = 48133911


Lets's calculate GCF of 129,8405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48133911/1

Therefore the LCM of Fractions 5131/129,9381/8405 is 48133911

Greatest Common Factor of 129,8405 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,8405 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors 129,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 129,8405 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 5131/129, 9381/8405

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 5131/129, 9381/8405?

Answer: LCM of Numerators as per given numbers 5131/129, 9381/8405 is

LCM of Numerators i.e. for 5131,9381 is 48133911

GCF of denominators i.e. for 129,8405 is 1.

Thus, LCM of Fractions is 48133911.Finally, LCM of Fractions for 5131/129, 9381/8405 is 48133911.