Least Common Multiple of 21/500, 50/450, 728/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/500, 50/450, 728/593 quickly i.e. 54600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/500, 50/450, 728/593 is 54600.

LCM(21/500, 50/450, 728/593) = 54600

LCM of 21/500, 50/450, 728/593

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 21/500,50/450,728/593

Given numbers are 21/500,50/450,728/593

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 21,50,728

Least Common Multiple of Numerators i.e. LCM of 21,50,728 is 54600.

GCF of Denominators means GCF of 500,450,593 as per the given fractions.

GCF of 500,450,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,50,728

LCM of Fractions 21/500,50/450,728/593 is 54600

2 21, 50, 728
7 21, 25, 364
3, 25, 52

∴ So the LCM of the given numbers is 2 x 7 x 3 x 25 x 52 = 54600

Least Common Multiple of 21,50,728 with GCF Formula

Least Common Multiple of 21,50,728 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 21,50,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,50,728) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(21,50,728) x common factors =1 x 14 = 14

LCM(21,50,728) = ( 21 × 50 × 728 ) / 14

LCM(21,50,728) = 764400 / 14

LCM(21,50,728) = 54600


Lets's calculate GCF of 500,450,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54600/1

Therefore the LCM of Fractions 21/500,50/450,728/593 is 54600

Greatest Common Factor of 500,450,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,450,593 By Matching Biggest Common Factor Method

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

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 500,450,593 . The biggest common factor number is the GCF number.
So the greatest common factor 500,450,593 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 21/500, 50/450, 728/593

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 21/500, 50/450, 728/593?

Answer: LCM of Numerators as per given numbers 21/500, 50/450, 728/593 is

LCM of Numerators i.e. for 21,50,728 is 54600

GCF of denominators i.e. for 500,450,593 is 1.

Thus, LCM of Fractions is 54600.Finally, LCM of Fractions for 21/500, 50/450, 728/593 is 54600.