Least Common Multiple of 2561/212, 8209/8215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2561/212, 8209/8215 quickly i.e. 21023249/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2561/212, 8209/8215 is 21023249/53.

LCM(2561/212, 8209/8215) = 21023249/53

LCM of 2561/212, 8209/8215

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 2561/212,8209/8215

Given numbers are 2561/212,8209/8215

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 2561,8209

Least Common Multiple of Numerators i.e. LCM of 2561,8209 is 21023249.

GCF of Denominators means GCF of 212,8215 as per the given fractions.

GCF of 212,8215 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2561,8209

LCM of Fractions 2561/212,8209/8215 is 21023249/53

Given numbers has no common factors except 1. So, there LCM is their product i.e 21023249

Least Common Multiple of 2561,8209 with GCF Formula

Least Common Multiple of 2561,8209 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 2561,8209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2561,8209) = 1

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

GCF(2561,8209) x common factors =1 x 1 = 1

LCM(2561,8209) = ( 2561 × 8209 ) / 1

LCM(2561,8209) = 21023249 / 1

LCM(2561,8209) = 21023249


Lets's calculate GCF of 212,8215

53 212, 8215
4, 155

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21023249/53

Therefore the LCM of Fractions 2561/212,8209/8215 is 21023249/53

Greatest Common Factor of 212,8215 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,8215 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Greatest Common Factor

We found the factors 212,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 212,8215 is 53.


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 2561/212, 8209/8215

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 2561/212, 8209/8215?

Answer: LCM of Numerators as per given numbers 2561/212, 8209/8215 is

LCM of Numerators i.e. for 2561,8209 is 21023249

GCF of denominators i.e. for 212,8215 is 53.

Thus, LCM of Fractions is 21023249/53.Finally, LCM of Fractions for 2561/212, 8209/8215 is 21023249/53.