Least Common Multiple of 54/288, 1587/4209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/288, 1587/4209 quickly i.e. 9522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/288, 1587/4209 is 9522.

LCM(54/288, 1587/4209) = 9522

LCM of 54/288, 1587/4209

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 54/288,1587/4209

Given numbers are 54/288,1587/4209

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 54,1587

Least Common Multiple of Numerators i.e. LCM of 54,1587 is 28566.

GCF of Denominators means GCF of 288,4209 as per the given fractions.

GCF of 288,4209 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,1587

LCM of Fractions 54/288,1587/4209 is 9522

3 54, 1587
18, 529

∴ So the LCM of the given numbers is 3 x 18 x 529 = 28566

Least Common Multiple of 54,1587 with GCF Formula

Least Common Multiple of 54,1587 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 54,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1587) = 3

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

GCF(54,1587) x common factors =3 x 1 = 3

LCM(54,1587) = ( 54 × 1587 ) / 3

LCM(54,1587) = 85698 / 3

LCM(54,1587) = 28566


Lets's calculate GCF of 288,4209

3 288, 4209
96, 1403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28566/3

Therefore the LCM of Fractions 54/288,1587/4209 is 9522

Greatest Common Factor of 288,4209 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,4209 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1,3,23,61,69,183,1403,4209

Greatest Common Factor

We found the factors 288,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 288,4209 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 54/288, 1587/4209

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 54/288, 1587/4209?

Answer: LCM of Numerators as per given numbers 54/288, 1587/4209 is

LCM of Numerators i.e. for 54,1587 is 28566

GCF of denominators i.e. for 288,4209 is 3.

Thus, LCM of Fractions is 9522.Finally, LCM of Fractions for 54/288, 1587/4209 is 9522.