Least Common Multiple of 721/20, 373/85, 625/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 721/20, 373/85, 625/819 quickly i.e. 168083125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/20, 373/85, 625/819 is 168083125.

LCM(721/20, 373/85, 625/819) = 168083125

LCM of 721/20, 373/85, 625/819

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 721/20,373/85,625/819

Given numbers are 721/20,373/85,625/819

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 721,373,625

Least Common Multiple of Numerators i.e. LCM of 721,373,625 is 168083125.

GCF of Denominators means GCF of 20,85,819 as per the given fractions.

GCF of 20,85,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,373,625

LCM of Fractions 721/20,373/85,625/819 is 168083125

Given numbers has no common factors except 1. So, there LCM is their product i.e 168083125

Least Common Multiple of 721,373,625 with GCF Formula

Least Common Multiple of 721,373,625 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 721,373,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,373,625) = 1

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

GCF(721,373,625) x common factors =1 x 1 = 1

LCM(721,373,625) = ( 721 × 373 × 625 ) / 1

LCM(721,373,625) = 168083125 / 1

LCM(721,373,625) = 168083125


Lets's calculate GCF of 20,85,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168083125/1

Therefore the LCM of Fractions 721/20,373/85,625/819 is 168083125

Greatest Common Factor of 20,85,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,85,819 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

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 20,85,819 . The biggest common factor number is the GCF number.
So the greatest common factor 20,85,819 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 721/20, 373/85, 625/819

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 721/20, 373/85, 625/819?

Answer: LCM of Numerators as per given numbers 721/20, 373/85, 625/819 is

LCM of Numerators i.e. for 721,373,625 is 168083125

GCF of denominators i.e. for 20,85,819 is 1.

Thus, LCM of Fractions is 168083125.Finally, LCM of Fractions for 721/20, 373/85, 625/819 is 168083125.