Least Common Multiple of 21/203, 81/845, 317/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/203, 81/845, 317/860 quickly i.e. 179739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/203, 81/845, 317/860 is 179739.

LCM(21/203, 81/845, 317/860) = 179739

LCM of 21/203, 81/845, 317/860

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 21/203,81/845,317/860

Given numbers are 21/203,81/845,317/860

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 21,81,317

Least Common Multiple of Numerators i.e. LCM of 21,81,317 is 179739.

GCF of Denominators means GCF of 203,845,860 as per the given fractions.

GCF of 203,845,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,81,317

LCM of Fractions 21/203,81/845,317/860 is 179739

3 21, 81, 317
7, 27, 317

∴ So the LCM of the given numbers is 3 x 7 x 27 x 317 = 179739

Least Common Multiple of 21,81,317 with GCF Formula

Least Common Multiple of 21,81,317 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 21,81,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,81,317) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,81,317) x common factors =1 x 3 = 3

LCM(21,81,317) = ( 21 × 81 × 317 ) / 3

LCM(21,81,317) = 539217 / 3

LCM(21,81,317) = 179739


Lets's calculate GCF of 203,845,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179739/1

Therefore the LCM of Fractions 21/203,81/845,317/860 is 179739

Greatest Common Factor of 203,845,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,845,860 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 203,845,860 . The biggest common factor number is the GCF number.
So the greatest common factor 203,845,860 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 21/203, 81/845, 317/860

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 21/203, 81/845, 317/860?

Answer: LCM of Numerators as per given numbers 21/203, 81/845, 317/860 is

LCM of Numerators i.e. for 21,81,317 is 179739

GCF of denominators i.e. for 203,845,860 is 1.

Thus, LCM of Fractions is 179739.Finally, LCM of Fractions for 21/203, 81/845, 317/860 is 179739.