Least Common Multiple of 96/403, 3131/9392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/403, 3131/9392 quickly i.e. 300576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/403, 3131/9392 is 300576.

LCM(96/403, 3131/9392) = 300576

LCM of 96/403, 3131/9392

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 96/403,3131/9392

Given numbers are 96/403,3131/9392

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 96,3131

Least Common Multiple of Numerators i.e. LCM of 96,3131 is 300576.

GCF of Denominators means GCF of 403,9392 as per the given fractions.

GCF of 403,9392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,3131

LCM of Fractions 96/403,3131/9392 is 300576

Given numbers has no common factors except 1. So, there LCM is their product i.e 300576

Least Common Multiple of 96,3131 with GCF Formula

Least Common Multiple of 96,3131 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 96,3131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,3131) = 1

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

GCF(96,3131) x common factors =1 x 1 = 1

LCM(96,3131) = ( 96 × 3131 ) / 1

LCM(96,3131) = 300576 / 1

LCM(96,3131) = 300576


Lets's calculate GCF of 403,9392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300576/1

Therefore the LCM of Fractions 96/403,3131/9392 is 300576

Greatest Common Factor of 403,9392 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,9392 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 9392

List of positive integer factors of 9392 that divides 9392 without a remainder.

1,2,4,8,16,587,1174,2348,4696,9392

Greatest Common Factor

We found the factors 403,9392 . The biggest common factor number is the GCF number.
So the greatest common factor 403,9392 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 96/403, 3131/9392

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 96/403, 3131/9392?

Answer: LCM of Numerators as per given numbers 96/403, 3131/9392 is

LCM of Numerators i.e. for 96,3131 is 300576

GCF of denominators i.e. for 403,9392 is 1.

Thus, LCM of Fractions is 300576.Finally, LCM of Fractions for 96/403, 3131/9392 is 300576.