Least Common Multiple of 21/487, 52/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/487, 52/500 quickly i.e. 1092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/487, 52/500 is 1092.

LCM(21/487, 52/500) = 1092

LCM of 21/487, 52/500

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 21/487,52/500

Given numbers are 21/487,52/500

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 21,52

Least Common Multiple of Numerators i.e. LCM of 21,52 is 1092.

GCF of Denominators means GCF of 487,500 as per the given fractions.

GCF of 487,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,52

LCM of Fractions 21/487,52/500 is 1092

Given numbers has no common factors except 1. So, there LCM is their product i.e 1092

Least Common Multiple of 21,52 with GCF Formula

Least Common Multiple of 21,52 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 21,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,52) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,52) x common factors =1 x 1 = 1

LCM(21,52) = ( 21 × 52 ) / 1

LCM(21,52) = 1092 / 1

LCM(21,52) = 1092


Lets's calculate GCF of 487,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1092/1

Therefore the LCM of Fractions 21/487,52/500 is 1092

Greatest Common Factor of 487,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,500 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 487,500 . The biggest common factor number is the GCF number.
So the greatest common factor 487,500 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 21/487, 52/500

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 21/487, 52/500?

Answer: LCM of Numerators as per given numbers 21/487, 52/500 is

LCM of Numerators i.e. for 21,52 is 1092

GCF of denominators i.e. for 487,500 is 1.

Thus, LCM of Fractions is 1092.Finally, LCM of Fractions for 21/487, 52/500 is 1092.