Least Common Multiple of 7517/243, 3789/3306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7517/243, 3789/3306 quickly i.e. 9493971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7517/243, 3789/3306 is 9493971.

LCM(7517/243, 3789/3306) = 9493971

LCM of 7517/243, 3789/3306

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 7517/243,3789/3306

Given numbers are 7517/243,3789/3306

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 7517,3789

Least Common Multiple of Numerators i.e. LCM of 7517,3789 is 28481913.

GCF of Denominators means GCF of 243,3306 as per the given fractions.

GCF of 243,3306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7517,3789

LCM of Fractions 7517/243,3789/3306 is 9493971

Given numbers has no common factors except 1. So, there LCM is their product i.e 28481913

Least Common Multiple of 7517,3789 with GCF Formula

Least Common Multiple of 7517,3789 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 7517,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7517,3789) = 1

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

GCF(7517,3789) x common factors =1 x 1 = 1

LCM(7517,3789) = ( 7517 × 3789 ) / 1

LCM(7517,3789) = 28481913 / 1

LCM(7517,3789) = 28481913


Lets's calculate GCF of 243,3306

3 243, 3306
81, 1102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28481913/3

Therefore the LCM of Fractions 7517/243,3789/3306 is 9493971

Greatest Common Factor of 243,3306 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,3306 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 3306

List of positive integer factors of 3306 that divides 3306 without a remainder.

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Greatest Common Factor

We found the factors 243,3306 . The biggest common factor number is the GCF number.
So the greatest common factor 243,3306 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 7517/243, 3789/3306

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 7517/243, 3789/3306?

Answer: LCM of Numerators as per given numbers 7517/243, 3789/3306 is

LCM of Numerators i.e. for 7517,3789 is 28481913

GCF of denominators i.e. for 243,3306 is 3.

Thus, LCM of Fractions is 9493971.Finally, LCM of Fractions for 7517/243, 3789/3306 is 9493971.