Least Common Multiple of 729/59, 500/4710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/59, 500/4710 quickly i.e. 364500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/59, 500/4710 is 364500.

LCM(729/59, 500/4710) = 364500

LCM of 729/59, 500/4710

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 729/59,500/4710

Given numbers are 729/59,500/4710

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 729,500

Least Common Multiple of Numerators i.e. LCM of 729,500 is 364500.

GCF of Denominators means GCF of 59,4710 as per the given fractions.

GCF of 59,4710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,500

LCM of Fractions 729/59,500/4710 is 364500

Given numbers has no common factors except 1. So, there LCM is their product i.e 364500

Least Common Multiple of 729,500 with GCF Formula

Least Common Multiple of 729,500 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 729,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,500) = 1

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

GCF(729,500) x common factors =1 x 1 = 1

LCM(729,500) = ( 729 × 500 ) / 1

LCM(729,500) = 364500 / 1

LCM(729,500) = 364500


Lets's calculate GCF of 59,4710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364500/1

Therefore the LCM of Fractions 729/59,500/4710 is 364500

Greatest Common Factor of 59,4710 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,4710 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 4710

List of positive integer factors of 4710 that divides 4710 without a remainder.

1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710

Greatest Common Factor

We found the factors 59,4710 . The biggest common factor number is the GCF number.
So the greatest common factor 59,4710 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 729/59, 500/4710

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 729/59, 500/4710?

Answer: LCM of Numerators as per given numbers 729/59, 500/4710 is

LCM of Numerators i.e. for 729,500 is 364500

GCF of denominators i.e. for 59,4710 is 1.

Thus, LCM of Fractions is 364500.Finally, LCM of Fractions for 729/59, 500/4710 is 364500.