Least Common Multiple of 72/47, 59/82, 12/48, 30/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/47, 59/82, 12/48, 30/594 quickly i.e. 21240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/47, 59/82, 12/48, 30/594 is 21240.

LCM(72/47, 59/82, 12/48, 30/594) = 21240

LCM of 72/47, 59/82, 12/48, 30/594

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 72/47,59/82,12/48,30/594

Given numbers are 72/47,59/82,12/48,30/594

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 72,59,12,30

Least Common Multiple of Numerators i.e. LCM of 72,59,12,30 is 21240.

GCF of Denominators means GCF of 47,82,48,594 as per the given fractions.

GCF of 47,82,48,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,59,12,30

LCM of Fractions 72/47,59/82,12/48,30/594 is 21240

2 72, 59, 12, 30
2 36, 59, 6, 15
3 18, 59, 3, 15
6, 59, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 59 x 1 x 5 = 21240

Least Common Multiple of 72,59,12,30 with GCF Formula

Least Common Multiple of 72,59,12,30 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 72,59,12,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,59,12,30) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(72,59,12,30) x common factors =1 x 72 = 72

LCM(72,59,12,30) = ( 72 × 59 × 12 × 30 ) / 72

LCM(72,59,12,30) = 1529280 / 72

LCM(72,59,12,30) = 21240


Lets's calculate GCF of 47,82,48,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21240/1

Therefore the LCM of Fractions 72/47,59/82,12/48,30/594 is 21240

Greatest Common Factor of 47,82,48,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,82,48,594 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 47,82,48,594 . The biggest common factor number is the GCF number.
So the greatest common factor 47,82,48,594 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 72/47, 59/82, 12/48, 30/594

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 72/47, 59/82, 12/48, 30/594?

Answer: LCM of Numerators as per given numbers 72/47, 59/82, 12/48, 30/594 is

LCM of Numerators i.e. for 72,59,12,30 is 21240

GCF of denominators i.e. for 47,82,48,594 is 1.

Thus, LCM of Fractions is 21240.Finally, LCM of Fractions for 72/47, 59/82, 12/48, 30/594 is 21240.