Least Common Multiple of 8361/198, 5889/2113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8361/198, 5889/2113 quickly i.e. 16412643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8361/198, 5889/2113 is 16412643.

LCM(8361/198, 5889/2113) = 16412643

LCM of 8361/198, 5889/2113

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 8361/198,5889/2113

Given numbers are 8361/198,5889/2113

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 8361,5889

Least Common Multiple of Numerators i.e. LCM of 8361,5889 is 16412643.

GCF of Denominators means GCF of 198,2113 as per the given fractions.

GCF of 198,2113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8361,5889

LCM of Fractions 8361/198,5889/2113 is 16412643

3 8361, 5889
2787, 1963

∴ So the LCM of the given numbers is 3 x 2787 x 1963 = 16412643

Least Common Multiple of 8361,5889 with GCF Formula

Least Common Multiple of 8361,5889 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 8361,5889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8361,5889) = 3

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

GCF(8361,5889) x common factors =3 x 1 = 3

LCM(8361,5889) = ( 8361 × 5889 ) / 3

LCM(8361,5889) = 49237929 / 3

LCM(8361,5889) = 16412643


Lets's calculate GCF of 198,2113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16412643/1

Therefore the LCM of Fractions 8361/198,5889/2113 is 16412643

Greatest Common Factor of 198,2113 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,2113 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 2113

List of positive integer factors of 2113 that divides 2113 without a remainder.

1,2113

Greatest Common Factor

We found the factors 198,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 198,2113 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 8361/198, 5889/2113

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 8361/198, 5889/2113?

Answer: LCM of Numerators as per given numbers 8361/198, 5889/2113 is

LCM of Numerators i.e. for 8361,5889 is 16412643

GCF of denominators i.e. for 198,2113 is 1.

Thus, LCM of Fractions is 16412643.Finally, LCM of Fractions for 8361/198, 5889/2113 is 16412643.