Least Common Multiple of 729/594, 643/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/594, 643/589 quickly i.e. 468747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/594, 643/589 is 468747.

LCM(729/594, 643/589) = 468747

LCM of 729/594, 643/589

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 729/594,643/589

Given numbers are 729/594,643/589

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 729,643

Least Common Multiple of Numerators i.e. LCM of 729,643 is 468747.

GCF of Denominators means GCF of 594,589 as per the given fractions.

GCF of 594,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,643

LCM of Fractions 729/594,643/589 is 468747

Given numbers has no common factors except 1. So, there LCM is their product i.e 468747

Least Common Multiple of 729,643 with GCF Formula

Least Common Multiple of 729,643 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 729,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,643) = 1

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

GCF(729,643) x common factors =1 x 1 = 1

LCM(729,643) = ( 729 × 643 ) / 1

LCM(729,643) = 468747 / 1

LCM(729,643) = 468747


Lets's calculate GCF of 594,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468747/1

Therefore the LCM of Fractions 729/594,643/589 is 468747

Greatest Common Factor of 594,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,589 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 594,589 . The biggest common factor number is the GCF number.
So the greatest common factor 594,589 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 729/594, 643/589

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 729/594, 643/589?

Answer: LCM of Numerators as per given numbers 729/594, 643/589 is

LCM of Numerators i.e. for 729,643 is 468747

GCF of denominators i.e. for 594,589 is 1.

Thus, LCM of Fractions is 468747.Finally, LCM of Fractions for 729/594, 643/589 is 468747.