Least Common Multiple of 288/61, 129/57, 752/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/61, 129/57, 752/365 quickly i.e. 582048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/61, 129/57, 752/365 is 582048.

LCM(288/61, 129/57, 752/365) = 582048

LCM of 288/61, 129/57, 752/365

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 288/61,129/57,752/365

Given numbers are 288/61,129/57,752/365

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 288,129,752

Least Common Multiple of Numerators i.e. LCM of 288,129,752 is 582048.

GCF of Denominators means GCF of 61,57,365 as per the given fractions.

GCF of 61,57,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,129,752

LCM of Fractions 288/61,129/57,752/365 is 582048

2 288, 129, 752
2 144, 129, 376
2 72, 129, 188
2 36, 129, 94
3 18, 129, 47
6, 43, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 6 x 43 x 47 = 582048

Least Common Multiple of 288,129,752 with GCF Formula

Least Common Multiple of 288,129,752 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 288,129,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,129,752) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(288,129,752) x common factors =1 x 48 = 48

LCM(288,129,752) = ( 288 × 129 × 752 ) / 48

LCM(288,129,752) = 27938304 / 48

LCM(288,129,752) = 582048


Lets's calculate GCF of 61,57,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582048/1

Therefore the LCM of Fractions 288/61,129/57,752/365 is 582048

Greatest Common Factor of 61,57,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,57,365 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 57

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

1,3,19,57

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 61,57,365 . The biggest common factor number is the GCF number.
So the greatest common factor 61,57,365 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 288/61, 129/57, 752/365

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 288/61, 129/57, 752/365?

Answer: LCM of Numerators as per given numbers 288/61, 129/57, 752/365 is

LCM of Numerators i.e. for 288,129,752 is 582048

GCF of denominators i.e. for 61,57,365 is 1.

Thus, LCM of Fractions is 582048.Finally, LCM of Fractions for 288/61, 129/57, 752/365 is 582048.