Least Common Multiple of 288/57, 459/7344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/57, 459/7344 quickly i.e. 4896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/57, 459/7344 is 4896.

LCM(288/57, 459/7344) = 4896

LCM of 288/57, 459/7344

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 288/57,459/7344

Given numbers are 288/57,459/7344

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 288,459

Least Common Multiple of Numerators i.e. LCM of 288,459 is 14688.

GCF of Denominators means GCF of 57,7344 as per the given fractions.

GCF of 57,7344 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,459

LCM of Fractions 288/57,459/7344 is 4896

3 288, 459
3 96, 153
32, 51

∴ So the LCM of the given numbers is 3 x 3 x 32 x 51 = 14688

Least Common Multiple of 288,459 with GCF Formula

Least Common Multiple of 288,459 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 288,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,459) = 9

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

GCF(288,459) x common factors =9 x 1 = 9

LCM(288,459) = ( 288 × 459 ) / 9

LCM(288,459) = 132192 / 9

LCM(288,459) = 14688


Lets's calculate GCF of 57,7344

3 57, 7344
19, 2448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14688/3

Therefore the LCM of Fractions 288/57,459/7344 is 4896

Greatest Common Factor of 57,7344 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,7344 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

Greatest Common Factor

We found the factors 57,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 57,7344 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 288/57, 459/7344

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 288/57, 459/7344?

Answer: LCM of Numerators as per given numbers 288/57, 459/7344 is

LCM of Numerators i.e. for 288,459 is 14688

GCF of denominators i.e. for 57,7344 is 3.

Thus, LCM of Fractions is 4896.Finally, LCM of Fractions for 288/57, 459/7344 is 4896.