Least Common Multiple of 6561/299, 9573/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6561/299, 9573/416 quickly i.e. 20936151/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6561/299, 9573/416 is 20936151/13.

LCM(6561/299, 9573/416) = 20936151/13

LCM of 6561/299, 9573/416

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 6561/299,9573/416

Given numbers are 6561/299,9573/416

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 6561,9573

Least Common Multiple of Numerators i.e. LCM of 6561,9573 is 20936151.

GCF of Denominators means GCF of 299,416 as per the given fractions.

GCF of 299,416 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6561,9573

LCM of Fractions 6561/299,9573/416 is 20936151/13

3 6561, 9573
2187, 3191

∴ So the LCM of the given numbers is 3 x 2187 x 3191 = 20936151

Least Common Multiple of 6561,9573 with GCF Formula

Least Common Multiple of 6561,9573 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 6561,9573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6561,9573) = 3

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

GCF(6561,9573) x common factors =3 x 1 = 3

LCM(6561,9573) = ( 6561 × 9573 ) / 3

LCM(6561,9573) = 62808453 / 3

LCM(6561,9573) = 20936151


Lets's calculate GCF of 299,416

13 299, 416
23, 32

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20936151/13

Therefore the LCM of Fractions 6561/299,9573/416 is 20936151/13

Greatest Common Factor of 299,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,416 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 299,416 . The biggest common factor number is the GCF number.
So the greatest common factor 299,416 is 13.


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 6561/299, 9573/416

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 6561/299, 9573/416?

Answer: LCM of Numerators as per given numbers 6561/299, 9573/416 is

LCM of Numerators i.e. for 6561,9573 is 20936151

GCF of denominators i.e. for 299,416 is 13.

Thus, LCM of Fractions is 20936151/13.Finally, LCM of Fractions for 6561/299, 9573/416 is 20936151/13.