Least Common Multiple of 8384/165, 2397/1533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8384/165, 2397/1533 quickly i.e. 6698816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8384/165, 2397/1533 is 6698816.

LCM(8384/165, 2397/1533) = 6698816

LCM of 8384/165, 2397/1533

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 8384/165,2397/1533

Given numbers are 8384/165,2397/1533

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 8384,2397

Least Common Multiple of Numerators i.e. LCM of 8384,2397 is 20096448.

GCF of Denominators means GCF of 165,1533 as per the given fractions.

GCF of 165,1533 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8384,2397

LCM of Fractions 8384/165,2397/1533 is 6698816

Given numbers has no common factors except 1. So, there LCM is their product i.e 20096448

Least Common Multiple of 8384,2397 with GCF Formula

Least Common Multiple of 8384,2397 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 8384,2397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8384,2397) = 1

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

GCF(8384,2397) x common factors =1 x 1 = 1

LCM(8384,2397) = ( 8384 × 2397 ) / 1

LCM(8384,2397) = 20096448 / 1

LCM(8384,2397) = 20096448


Lets's calculate GCF of 165,1533

3 165, 1533
55, 511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20096448/3

Therefore the LCM of Fractions 8384/165,2397/1533 is 6698816

Greatest Common Factor of 165,1533 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,1533 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 1533

List of positive integer factors of 1533 that divides 1533 without a remainder.

1,3,7,21,73,219,511,1533

Greatest Common Factor

We found the factors 165,1533 . The biggest common factor number is the GCF number.
So the greatest common factor 165,1533 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 8384/165, 2397/1533

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 8384/165, 2397/1533?

Answer: LCM of Numerators as per given numbers 8384/165, 2397/1533 is

LCM of Numerators i.e. for 8384,2397 is 20096448

GCF of denominators i.e. for 165,1533 is 3.

Thus, LCM of Fractions is 6698816.Finally, LCM of Fractions for 8384/165, 2397/1533 is 6698816.