Least Common Multiple of 288/39, 254/5877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/39, 254/5877 quickly i.e. 12192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/39, 254/5877 is 12192.

LCM(288/39, 254/5877) = 12192

LCM of 288/39, 254/5877

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 288/39,254/5877

Given numbers are 288/39,254/5877

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 288,254

Least Common Multiple of Numerators i.e. LCM of 288,254 is 36576.

GCF of Denominators means GCF of 39,5877 as per the given fractions.

GCF of 39,5877 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,254

LCM of Fractions 288/39,254/5877 is 12192

2 288, 254
144, 127

∴ So the LCM of the given numbers is 2 x 144 x 127 = 36576

Least Common Multiple of 288,254 with GCF Formula

Least Common Multiple of 288,254 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 288,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,254) = 2

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

GCF(288,254) x common factors =2 x 1 = 2

LCM(288,254) = ( 288 × 254 ) / 2

LCM(288,254) = 73152 / 2

LCM(288,254) = 36576


Lets's calculate GCF of 39,5877

3 39, 5877
13, 1959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36576/3

Therefore the LCM of Fractions 288/39,254/5877 is 12192

Greatest Common Factor of 39,5877 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,5877 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Greatest Common Factor

We found the factors 39,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 39,5877 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 288/39, 254/5877

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 288/39, 254/5877?

Answer: LCM of Numerators as per given numbers 288/39, 254/5877 is

LCM of Numerators i.e. for 288,254 is 36576

GCF of denominators i.e. for 39,5877 is 3.

Thus, LCM of Fractions is 12192.Finally, LCM of Fractions for 288/39, 254/5877 is 12192.