Least Common Multiple of 72/81, 54/31, 48/70, 23/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/81, 54/31, 48/70, 23/819 quickly i.e. 9936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/81, 54/31, 48/70, 23/819 is 9936.

LCM(72/81, 54/31, 48/70, 23/819) = 9936

LCM of 72/81, 54/31, 48/70, 23/819

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 72/81,54/31,48/70,23/819

Given numbers are 72/81,54/31,48/70,23/819

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 72,54,48,23

Least Common Multiple of Numerators i.e. LCM of 72,54,48,23 is 9936.

GCF of Denominators means GCF of 81,31,70,819 as per the given fractions.

GCF of 81,31,70,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,54,48,23

LCM of Fractions 72/81,54/31,48/70,23/819 is 9936

2 72, 54, 48, 23
2 36, 27, 24, 23
2 18, 27, 12, 23
3 9, 27, 6, 23
3 3, 9, 2, 23
1, 3, 2, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 3 x 2 x 23 = 9936

Least Common Multiple of 72,54,48,23 with GCF Formula

Least Common Multiple of 72,54,48,23 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 72,54,48,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,54,48,23) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(72,54,48,23) x common factors =1 x 432 = 432

LCM(72,54,48,23) = ( 72 × 54 × 48 × 23 ) / 432

LCM(72,54,48,23) = 4292352 / 432

LCM(72,54,48,23) = 9936


Lets's calculate GCF of 81,31,70,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9936/1

Therefore the LCM of Fractions 72/81,54/31,48/70,23/819 is 9936

Greatest Common Factor of 81,31,70,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,31,70,819 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 81,31,70,819 . The biggest common factor number is the GCF number.
So the greatest common factor 81,31,70,819 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 72/81, 54/31, 48/70, 23/819

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 72/81, 54/31, 48/70, 23/819?

Answer: LCM of Numerators as per given numbers 72/81, 54/31, 48/70, 23/819 is

LCM of Numerators i.e. for 72,54,48,23 is 9936

GCF of denominators i.e. for 81,31,70,819 is 1.

Thus, LCM of Fractions is 9936.Finally, LCM of Fractions for 72/81, 54/31, 48/70, 23/819 is 9936.