Least Common Multiple of 18/591, 2594/3243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/591, 2594/3243 quickly i.e. 7782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/591, 2594/3243 is 7782.

LCM(18/591, 2594/3243) = 7782

LCM of 18/591, 2594/3243

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 18/591,2594/3243

Given numbers are 18/591,2594/3243

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 18,2594

Least Common Multiple of Numerators i.e. LCM of 18,2594 is 23346.

GCF of Denominators means GCF of 591,3243 as per the given fractions.

GCF of 591,3243 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,2594

LCM of Fractions 18/591,2594/3243 is 7782

2 18, 2594
9, 1297

∴ So the LCM of the given numbers is 2 x 9 x 1297 = 23346

Least Common Multiple of 18,2594 with GCF Formula

Least Common Multiple of 18,2594 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 18,2594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,2594) = 2

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

GCF(18,2594) x common factors =2 x 1 = 2

LCM(18,2594) = ( 18 × 2594 ) / 2

LCM(18,2594) = 46692 / 2

LCM(18,2594) = 23346


Lets's calculate GCF of 591,3243

3 591, 3243
197, 1081

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23346/3

Therefore the LCM of Fractions 18/591,2594/3243 is 7782

Greatest Common Factor of 591,3243 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,3243 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1,3,23,47,69,141,1081,3243

Greatest Common Factor

We found the factors 591,3243 . The biggest common factor number is the GCF number.
So the greatest common factor 591,3243 is 3.


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 18/591, 2594/3243

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 18/591, 2594/3243?

Answer: LCM of Numerators as per given numbers 18/591, 2594/3243 is

LCM of Numerators i.e. for 18,2594 is 23346

GCF of denominators i.e. for 591,3243 is 3.

Thus, LCM of Fractions is 7782.Finally, LCM of Fractions for 18/591, 2594/3243 is 7782.