Least Common Multiple of 6521/819, 6821/3517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6521/819, 6821/3517 quickly i.e. 44479741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6521/819, 6821/3517 is 44479741.

LCM(6521/819, 6821/3517) = 44479741

LCM of 6521/819, 6821/3517

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 6521/819,6821/3517

Given numbers are 6521/819,6821/3517

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 6521,6821

Least Common Multiple of Numerators i.e. LCM of 6521,6821 is 44479741.

GCF of Denominators means GCF of 819,3517 as per the given fractions.

GCF of 819,3517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6521,6821

LCM of Fractions 6521/819,6821/3517 is 44479741

Given numbers has no common factors except 1. So, there LCM is their product i.e 44479741

Least Common Multiple of 6521,6821 with GCF Formula

Least Common Multiple of 6521,6821 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 6521,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6521,6821) = 1

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

GCF(6521,6821) x common factors =1 x 1 = 1

LCM(6521,6821) = ( 6521 × 6821 ) / 1

LCM(6521,6821) = 44479741 / 1

LCM(6521,6821) = 44479741


Lets's calculate GCF of 819,3517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44479741/1

Therefore the LCM of Fractions 6521/819,6821/3517 is 44479741

Greatest Common Factor of 819,3517 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,3517 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1,3517

Greatest Common Factor

We found the factors 819,3517 . The biggest common factor number is the GCF number.
So the greatest common factor 819,3517 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 6521/819, 6821/3517

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 6521/819, 6821/3517?

Answer: LCM of Numerators as per given numbers 6521/819, 6821/3517 is

LCM of Numerators i.e. for 6521,6821 is 44479741

GCF of denominators i.e. for 819,3517 is 1.

Thus, LCM of Fractions is 44479741.Finally, LCM of Fractions for 6521/819, 6821/3517 is 44479741.