Least Common Multiple of 8418/729, 6997/2500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8418/729, 6997/2500 quickly i.e. 58900746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8418/729, 6997/2500 is 58900746.

LCM(8418/729, 6997/2500) = 58900746

LCM of 8418/729, 6997/2500

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 8418/729,6997/2500

Given numbers are 8418/729,6997/2500

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 8418,6997

Least Common Multiple of Numerators i.e. LCM of 8418,6997 is 58900746.

GCF of Denominators means GCF of 729,2500 as per the given fractions.

GCF of 729,2500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8418,6997

LCM of Fractions 8418/729,6997/2500 is 58900746

Given numbers has no common factors except 1. So, there LCM is their product i.e 58900746

Least Common Multiple of 8418,6997 with GCF Formula

Least Common Multiple of 8418,6997 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 8418,6997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8418,6997) = 1

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

GCF(8418,6997) x common factors =1 x 1 = 1

LCM(8418,6997) = ( 8418 × 6997 ) / 1

LCM(8418,6997) = 58900746 / 1

LCM(8418,6997) = 58900746


Lets's calculate GCF of 729,2500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58900746/1

Therefore the LCM of Fractions 8418/729,6997/2500 is 58900746

Greatest Common Factor of 729,2500 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,2500 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Greatest Common Factor

We found the factors 729,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 729,2500 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8418/729, 6997/2500

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 8418/729, 6997/2500?

Answer: LCM of Numerators as per given numbers 8418/729, 6997/2500 is

LCM of Numerators i.e. for 8418,6997 is 58900746

GCF of denominators i.e. for 729,2500 is 1.

Thus, LCM of Fractions is 58900746.Finally, LCM of Fractions for 8418/729, 6997/2500 is 58900746.