Least Common Multiple of 8268/189, 9915/1323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8268/189, 9915/1323 quickly i.e. 27325740/189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8268/189, 9915/1323 is 27325740/189.

LCM(8268/189, 9915/1323) = 27325740/189

LCM of 8268/189, 9915/1323

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 8268/189,9915/1323

Given numbers are 8268/189,9915/1323

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 8268,9915

Least Common Multiple of Numerators i.e. LCM of 8268,9915 is 27325740.

GCF of Denominators means GCF of 189,1323 as per the given fractions.

GCF of 189,1323 is 189 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8268,9915

LCM of Fractions 8268/189,9915/1323 is 27325740/189

3 8268, 9915
2756, 3305

∴ So the LCM of the given numbers is 3 x 2756 x 3305 = 27325740

Least Common Multiple of 8268,9915 with GCF Formula

Least Common Multiple of 8268,9915 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 8268,9915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8268,9915) = 3

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

GCF(8268,9915) x common factors =3 x 1 = 3

LCM(8268,9915) = ( 8268 × 9915 ) / 3

LCM(8268,9915) = 81977220 / 3

LCM(8268,9915) = 27325740


Lets's calculate GCF of 189,1323

3 189, 1323
3 63, 441
3 21, 147
7 7, 49
1, 7

∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27325740/189

Therefore the LCM of Fractions 8268/189,9915/1323 is 27325740/189

Greatest Common Factor of 189,1323 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,1323 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Greatest Common Factor

We found the factors 189,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 189,1323 is 189.


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 8268/189, 9915/1323

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 8268/189, 9915/1323?

Answer: LCM of Numerators as per given numbers 8268/189, 9915/1323 is

LCM of Numerators i.e. for 8268,9915 is 27325740

GCF of denominators i.e. for 189,1323 is 189.

Thus, LCM of Fractions is 27325740/189.Finally, LCM of Fractions for 8268/189, 9915/1323 is 27325740/189.