Least Common Multiple of 591/82, 589/83, 519/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/82, 589/83, 519/85 quickly i.e. 60221127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/82, 589/83, 519/85 is 60221127.

LCM(591/82, 589/83, 519/85) = 60221127

LCM of 591/82, 589/83, 519/85

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 591/82,589/83,519/85

Given numbers are 591/82,589/83,519/85

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 591,589,519

Least Common Multiple of Numerators i.e. LCM of 591,589,519 is 60221127.

GCF of Denominators means GCF of 82,83,85 as per the given fractions.

GCF of 82,83,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,589,519

LCM of Fractions 591/82,589/83,519/85 is 60221127

3 591, 589, 519
197, 589, 173

∴ So the LCM of the given numbers is 3 x 197 x 589 x 173 = 60221127

Least Common Multiple of 591,589,519 with GCF Formula

Least Common Multiple of 591,589,519 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 591,589,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,589,519) = 1

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

GCF(591,589,519) x common factors =1 x 3 = 3

LCM(591,589,519) = ( 591 × 589 × 519 ) / 3

LCM(591,589,519) = 180663381 / 3

LCM(591,589,519) = 60221127


Lets's calculate GCF of 82,83,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60221127/1

Therefore the LCM of Fractions 591/82,589/83,519/85 is 60221127

Greatest Common Factor of 82,83,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,83,85 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 85

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

1,5,17,85

Greatest Common Factor

We found the factors 82,83,85 . The biggest common factor number is the GCF number.
So the greatest common factor 82,83,85 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 591/82, 589/83, 519/85

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 591/82, 589/83, 519/85?

Answer: LCM of Numerators as per given numbers 591/82, 589/83, 519/85 is

LCM of Numerators i.e. for 591,589,519 is 60221127

GCF of denominators i.e. for 82,83,85 is 1.

Thus, LCM of Fractions is 60221127.Finally, LCM of Fractions for 591/82, 589/83, 519/85 is 60221127.