Least Common Multiple of 71/84, 31/81, 24/18, 12/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/84, 31/81, 24/18, 12/576 quickly i.e. 17608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/84, 31/81, 24/18, 12/576 is 17608.

LCM(71/84, 31/81, 24/18, 12/576) = 17608

LCM of 71/84, 31/81, 24/18, 12/576

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 71/84,31/81,24/18,12/576

Given numbers are 71/84,31/81,24/18,12/576

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 71,31,24,12

Least Common Multiple of Numerators i.e. LCM of 71,31,24,12 is 52824.

GCF of Denominators means GCF of 84,81,18,576 as per the given fractions.

GCF of 84,81,18,576 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,31,24,12

LCM of Fractions 71/84,31/81,24/18,12/576 is 17608

2 71, 31, 24, 12
2 71, 31, 12, 6
3 71, 31, 3, 6
71, 31, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 31 x 1 x 2 = 52824

Least Common Multiple of 71,31,24,12 with GCF Formula

Least Common Multiple of 71,31,24,12 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 71,31,24,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,31,24,12) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(71,31,24,12) x common factors =1 x 12 = 12

LCM(71,31,24,12) = ( 71 × 31 × 24 × 12 ) / 12

LCM(71,31,24,12) = 633888 / 12

LCM(71,31,24,12) = 52824


Lets's calculate GCF of 84,81,18,576

3 84, 81, 18, 576
28, 27, 6, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52824/3

Therefore the LCM of Fractions 71/84,31/81,24/18,12/576 is 17608

Greatest Common Factor of 84,81,18,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,81,18,576 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 84,81,18,576 . The biggest common factor number is the GCF number.
So the greatest common factor 84,81,18,576 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 71/84, 31/81, 24/18, 12/576

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 71/84, 31/81, 24/18, 12/576?

Answer: LCM of Numerators as per given numbers 71/84, 31/81, 24/18, 12/576 is

LCM of Numerators i.e. for 71,31,24,12 is 52824

GCF of denominators i.e. for 84,81,18,576 is 3.

Thus, LCM of Fractions is 17608.Finally, LCM of Fractions for 71/84, 31/81, 24/18, 12/576 is 17608.