Least Common Multiple of 9519/387, 6093/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9519/387, 6093/822 quickly i.e. 6444363 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9519/387, 6093/822 is 6444363.

LCM(9519/387, 6093/822) = 6444363

LCM of 9519/387, 6093/822

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 9519/387,6093/822

Given numbers are 9519/387,6093/822

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 9519,6093

Least Common Multiple of Numerators i.e. LCM of 9519,6093 is 19333089.

GCF of Denominators means GCF of 387,822 as per the given fractions.

GCF of 387,822 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9519,6093

LCM of Fractions 9519/387,6093/822 is 6444363

3 9519, 6093
3173, 2031

∴ So the LCM of the given numbers is 3 x 3173 x 2031 = 19333089

Least Common Multiple of 9519,6093 with GCF Formula

Least Common Multiple of 9519,6093 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 9519,6093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9519,6093) = 3

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

GCF(9519,6093) x common factors =3 x 1 = 3

LCM(9519,6093) = ( 9519 × 6093 ) / 3

LCM(9519,6093) = 57999267 / 3

LCM(9519,6093) = 19333089


Lets's calculate GCF of 387,822

3 387, 822
129, 274

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19333089/3

Therefore the LCM of Fractions 9519/387,6093/822 is 6444363

Greatest Common Factor of 387,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,822 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 387,822 . The biggest common factor number is the GCF number.
So the greatest common factor 387,822 is 3.


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 9519/387, 6093/822

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 9519/387, 6093/822?

Answer: LCM of Numerators as per given numbers 9519/387, 6093/822 is

LCM of Numerators i.e. for 9519,6093 is 19333089

GCF of denominators i.e. for 387,822 is 3.

Thus, LCM of Fractions is 6444363.Finally, LCM of Fractions for 9519/387, 6093/822 is 6444363.