Least Common Multiple of 12/63, 81/37, 288/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/63, 81/37, 288/575 quickly i.e. 2592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/63, 81/37, 288/575 is 2592.

LCM(12/63, 81/37, 288/575) = 2592

LCM of 12/63, 81/37, 288/575

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 12/63,81/37,288/575

Given numbers are 12/63,81/37,288/575

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 12,81,288

Least Common Multiple of Numerators i.e. LCM of 12,81,288 is 2592.

GCF of Denominators means GCF of 63,37,575 as per the given fractions.

GCF of 63,37,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,81,288

LCM of Fractions 12/63,81/37,288/575 is 2592

2 12, 81, 288
2 6, 81, 144
3 3, 81, 72
3 1, 27, 24
1, 9, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 9 x 8 = 2592

Least Common Multiple of 12,81,288 with GCF Formula

Least Common Multiple of 12,81,288 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 12,81,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,81,288) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(12,81,288) x common factors =3 x 36 = 108

LCM(12,81,288) = ( 12 × 81 × 288 ) / 108

LCM(12,81,288) = 279936 / 108

LCM(12,81,288) = 2592


Lets's calculate GCF of 63,37,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2592/1

Therefore the LCM of Fractions 12/63,81/37,288/575 is 2592

Greatest Common Factor of 63,37,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,37,575 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 63,37,575 . The biggest common factor number is the GCF number.
So the greatest common factor 63,37,575 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 12/63, 81/37, 288/575

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 12/63, 81/37, 288/575?

Answer: LCM of Numerators as per given numbers 12/63, 81/37, 288/575 is

LCM of Numerators i.e. for 12,81,288 is 2592

GCF of denominators i.e. for 63,37,575 is 1.

Thus, LCM of Fractions is 2592.Finally, LCM of Fractions for 12/63, 81/37, 288/575 is 2592.