Least Common Multiple of 9291/33, 3873/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9291/33, 3873/729 quickly i.e. 3998227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9291/33, 3873/729 is 3998227.

LCM(9291/33, 3873/729) = 3998227

LCM of 9291/33, 3873/729

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 9291/33,3873/729

Given numbers are 9291/33,3873/729

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 9291,3873

Least Common Multiple of Numerators i.e. LCM of 9291,3873 is 11994681.

GCF of Denominators means GCF of 33,729 as per the given fractions.

GCF of 33,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9291,3873

LCM of Fractions 9291/33,3873/729 is 3998227

3 9291, 3873
3097, 1291

∴ So the LCM of the given numbers is 3 x 3097 x 1291 = 11994681

Least Common Multiple of 9291,3873 with GCF Formula

Least Common Multiple of 9291,3873 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 9291,3873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9291,3873) = 3

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

GCF(9291,3873) x common factors =3 x 1 = 3

LCM(9291,3873) = ( 9291 × 3873 ) / 3

LCM(9291,3873) = 35984043 / 3

LCM(9291,3873) = 11994681


Lets's calculate GCF of 33,729

3 33, 729
11, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11994681/3

Therefore the LCM of Fractions 9291/33,3873/729 is 3998227

Greatest Common Factor of 33,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,729 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 33,729 . The biggest common factor number is the GCF number.
So the greatest common factor 33,729 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 9291/33, 3873/729

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 9291/33, 3873/729?

Answer: LCM of Numerators as per given numbers 9291/33, 3873/729 is

LCM of Numerators i.e. for 9291,3873 is 11994681

GCF of denominators i.e. for 33,729 is 3.

Thus, LCM of Fractions is 3998227.Finally, LCM of Fractions for 9291/33, 3873/729 is 3998227.