Least Common Multiple of 23/40, 73/59, 24/21, 23/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/40, 73/59, 24/21, 23/939 quickly i.e. 40296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/40, 73/59, 24/21, 23/939 is 40296.

LCM(23/40, 73/59, 24/21, 23/939) = 40296

LCM of 23/40, 73/59, 24/21, 23/939

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 23/40,73/59,24/21,23/939

Given numbers are 23/40,73/59,24/21,23/939

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 23,73,24,23

Least Common Multiple of Numerators i.e. LCM of 23,73,24,23 is 40296.

GCF of Denominators means GCF of 40,59,21,939 as per the given fractions.

GCF of 40,59,21,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,73,24,23

LCM of Fractions 23/40,73/59,24/21,23/939 is 40296

23 23, 73, 24, 23
1, 73, 24, 1

∴ So the LCM of the given numbers is 23 x 1 x 73 x 24 x 1 = 40296

Least Common Multiple of 23,73,24,23 with GCF Formula

Least Common Multiple of 23,73,24,23 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 23,73,24,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,73,24,23) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,73,24,23) x common factors =1 x 23 = 23

LCM(23,73,24,23) = ( 23 × 73 × 24 × 23 ) / 23

LCM(23,73,24,23) = 926808 / 23

LCM(23,73,24,23) = 40296


Lets's calculate GCF of 40,59,21,939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40296/1

Therefore the LCM of Fractions 23/40,73/59,24/21,23/939 is 40296

Greatest Common Factor of 40,59,21,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,59,21,939 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 40,59,21,939 . The biggest common factor number is the GCF number.
So the greatest common factor 40,59,21,939 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 23/40, 73/59, 24/21, 23/939

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 23/40, 73/59, 24/21, 23/939?

Answer: LCM of Numerators as per given numbers 23/40, 73/59, 24/21, 23/939 is

LCM of Numerators i.e. for 23,73,24,23 is 40296

GCF of denominators i.e. for 40,59,21,939 is 1.

Thus, LCM of Fractions is 40296.Finally, LCM of Fractions for 23/40, 73/59, 24/21, 23/939 is 40296.