Least Common Multiple of 729/81, 696/8097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/81, 696/8097 quickly i.e. 56376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/81, 696/8097 is 56376.

LCM(729/81, 696/8097) = 56376

LCM of 729/81, 696/8097

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 729/81,696/8097

Given numbers are 729/81,696/8097

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 729,696

Least Common Multiple of Numerators i.e. LCM of 729,696 is 169128.

GCF of Denominators means GCF of 81,8097 as per the given fractions.

GCF of 81,8097 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,696

LCM of Fractions 729/81,696/8097 is 56376

3 729, 696
243, 232

∴ So the LCM of the given numbers is 3 x 243 x 232 = 169128

Least Common Multiple of 729,696 with GCF Formula

Least Common Multiple of 729,696 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 729,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,696) = 3

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

GCF(729,696) x common factors =3 x 1 = 3

LCM(729,696) = ( 729 × 696 ) / 3

LCM(729,696) = 507384 / 3

LCM(729,696) = 169128


Lets's calculate GCF of 81,8097

3 81, 8097
27, 2699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169128/3

Therefore the LCM of Fractions 729/81,696/8097 is 56376

Greatest Common Factor of 81,8097 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,8097 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 8097

List of positive integer factors of 8097 that divides 8097 without a remainder.

1,3,2699,8097

Greatest Common Factor

We found the factors 81,8097 . The biggest common factor number is the GCF number.
So the greatest common factor 81,8097 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 729/81, 696/8097

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 729/81, 696/8097?

Answer: LCM of Numerators as per given numbers 729/81, 696/8097 is

LCM of Numerators i.e. for 729,696 is 169128

GCF of denominators i.e. for 81,8097 is 3.

Thus, LCM of Fractions is 56376.Finally, LCM of Fractions for 729/81, 696/8097 is 56376.