Least Common Multiple of 288/574, 339/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/574, 339/143 quickly i.e. 32544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/574, 339/143 is 32544.

LCM(288/574, 339/143) = 32544

LCM of 288/574, 339/143

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 288/574,339/143

Given numbers are 288/574,339/143

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 288,339

Least Common Multiple of Numerators i.e. LCM of 288,339 is 32544.

GCF of Denominators means GCF of 574,143 as per the given fractions.

GCF of 574,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,339

LCM of Fractions 288/574,339/143 is 32544

3 288, 339
96, 113

∴ So the LCM of the given numbers is 3 x 96 x 113 = 32544

Least Common Multiple of 288,339 with GCF Formula

Least Common Multiple of 288,339 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 288,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,339) = 3

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

GCF(288,339) x common factors =3 x 1 = 3

LCM(288,339) = ( 288 × 339 ) / 3

LCM(288,339) = 97632 / 3

LCM(288,339) = 32544


Lets's calculate GCF of 574,143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32544/1

Therefore the LCM of Fractions 288/574,339/143 is 32544

Greatest Common Factor of 574,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,143 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 574,143 . The biggest common factor number is the GCF number.
So the greatest common factor 574,143 is 1.


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 288/574, 339/143

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 288/574, 339/143?

Answer: LCM of Numerators as per given numbers 288/574, 339/143 is

LCM of Numerators i.e. for 288,339 is 32544

GCF of denominators i.e. for 574,143 is 1.

Thus, LCM of Fractions is 32544.Finally, LCM of Fractions for 288/574, 339/143 is 32544.