Least Common Multiple of 23/932, 23/542, 500/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/932, 23/542, 500/116 quickly i.e. 5750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/932, 23/542, 500/116 is 5750.

LCM(23/932, 23/542, 500/116) = 5750

LCM of 23/932, 23/542, 500/116

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 23/932,23/542,500/116

Given numbers are 23/932,23/542,500/116

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 23,23,500

Least Common Multiple of Numerators i.e. LCM of 23,23,500 is 11500.

GCF of Denominators means GCF of 932,542,116 as per the given fractions.

GCF of 932,542,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,23,500

LCM of Fractions 23/932,23/542,500/116 is 5750

23 23, 23, 500
1, 1, 500

∴ So the LCM of the given numbers is 23 x 1 x 1 x 500 = 11500

Least Common Multiple of 23,23,500 with GCF Formula

Least Common Multiple of 23,23,500 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 23,23,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,23,500) = 1

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

GCF(23,23,500) x common factors =1 x 23 = 23

LCM(23,23,500) = ( 23 × 23 × 500 ) / 23

LCM(23,23,500) = 264500 / 23

LCM(23,23,500) = 11500


Lets's calculate GCF of 932,542,116

2 932, 542, 116
466, 271, 58

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11500/2

Therefore the LCM of Fractions 23/932,23/542,500/116 is 5750

Greatest Common Factor of 932,542,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 932,542,116 By Matching Biggest Common Factor Method

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 932,542,116 . The biggest common factor number is the GCF number.
So the greatest common factor 932,542,116 is 2.


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 23/932, 23/542, 500/116

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 23/932, 23/542, 500/116?

Answer: LCM of Numerators as per given numbers 23/932, 23/542, 500/116 is

LCM of Numerators i.e. for 23,23,500 is 11500

GCF of denominators i.e. for 932,542,116 is 2.

Thus, LCM of Fractions is 5750.Finally, LCM of Fractions for 23/932, 23/542, 500/116 is 5750.