Least Common Multiple of 6517/21, 8381/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6517/21, 8381/579 quickly i.e. 54618977/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6517/21, 8381/579 is 54618977/3.

LCM(6517/21, 8381/579) = 54618977/3

LCM of 6517/21, 8381/579

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 6517/21,8381/579

Given numbers are 6517/21,8381/579

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 6517,8381

Least Common Multiple of Numerators i.e. LCM of 6517,8381 is 54618977.

GCF of Denominators means GCF of 21,579 as per the given fractions.

GCF of 21,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6517,8381

LCM of Fractions 6517/21,8381/579 is 54618977/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 54618977

Least Common Multiple of 6517,8381 with GCF Formula

Least Common Multiple of 6517,8381 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 6517,8381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6517,8381) = 1

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

GCF(6517,8381) x common factors =1 x 1 = 1

LCM(6517,8381) = ( 6517 × 8381 ) / 1

LCM(6517,8381) = 54618977 / 1

LCM(6517,8381) = 54618977


Lets's calculate GCF of 21,579

3 21, 579
7, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54618977/3

Therefore the LCM of Fractions 6517/21,8381/579 is 54618977/3

Greatest Common Factor of 21,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,579 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 21,579 . The biggest common factor number is the GCF number.
So the greatest common factor 21,579 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 6517/21, 8381/579

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 6517/21, 8381/579?

Answer: LCM of Numerators as per given numbers 6517/21, 8381/579 is

LCM of Numerators i.e. for 6517,8381 is 54618977

GCF of denominators i.e. for 21,579 is 3.

Thus, LCM of Fractions is 54618977/3.Finally, LCM of Fractions for 6517/21, 8381/579 is 54618977/3.