Least Common Multiple of 81/60, 39/17, 593/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/60, 39/17, 593/213 quickly i.e. 624429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/60, 39/17, 593/213 is 624429.

LCM(81/60, 39/17, 593/213) = 624429

LCM of 81/60, 39/17, 593/213

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 81/60,39/17,593/213

Given numbers are 81/60,39/17,593/213

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 81,39,593

Least Common Multiple of Numerators i.e. LCM of 81,39,593 is 624429.

GCF of Denominators means GCF of 60,17,213 as per the given fractions.

GCF of 60,17,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,39,593

LCM of Fractions 81/60,39/17,593/213 is 624429

3 81, 39, 593
27, 13, 593

∴ So the LCM of the given numbers is 3 x 27 x 13 x 593 = 624429

Least Common Multiple of 81,39,593 with GCF Formula

Least Common Multiple of 81,39,593 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 81,39,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,39,593) = 1

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

GCF(81,39,593) x common factors =1 x 3 = 3

LCM(81,39,593) = ( 81 × 39 × 593 ) / 3

LCM(81,39,593) = 1873287 / 3

LCM(81,39,593) = 624429


Lets's calculate GCF of 60,17,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624429/1

Therefore the LCM of Fractions 81/60,39/17,593/213 is 624429

Greatest Common Factor of 60,17,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,17,213 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 60,17,213 . The biggest common factor number is the GCF number.
So the greatest common factor 60,17,213 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 81/60, 39/17, 593/213

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 81/60, 39/17, 593/213?

Answer: LCM of Numerators as per given numbers 81/60, 39/17, 593/213 is

LCM of Numerators i.e. for 81,39,593 is 624429

GCF of denominators i.e. for 60,17,213 is 1.

Thus, LCM of Fractions is 624429.Finally, LCM of Fractions for 81/60, 39/17, 593/213 is 624429.