Least Common Multiple of 40/243, 84/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/243, 84/729 quickly i.e. 840/243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/243, 84/729 is 840/243.

LCM(40/243, 84/729) = 840/243

LCM of 40/243, 84/729

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 40/243,84/729

Given numbers are 40/243,84/729

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 40,84

Least Common Multiple of Numerators i.e. LCM of 40,84 is 840.

GCF of Denominators means GCF of 243,729 as per the given fractions.

GCF of 243,729 is 243 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,84

LCM of Fractions 40/243,84/729 is 840/243

2 40, 84
2 20, 42
10, 21

∴ So the LCM of the given numbers is 2 x 2 x 10 x 21 = 840

Least Common Multiple of 40,84 with GCF Formula

Least Common Multiple of 40,84 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 40,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,84) = 4

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

GCF(40,84) x common factors =4 x 1 = 4

LCM(40,84) = ( 40 × 84 ) / 4

LCM(40,84) = 3360 / 4

LCM(40,84) = 840


Lets's calculate GCF of 243,729

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

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840/243

Therefore the LCM of Fractions 40/243,84/729 is 840/243

Greatest Common Factor of 243,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,729 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 729

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

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

Greatest Common Factor

We found the factors 243,729 . The biggest common factor number is the GCF number.
So the greatest common factor 243,729 is 243.


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 40/243, 84/729

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 40/243, 84/729?

Answer: LCM of Numerators as per given numbers 40/243, 84/729 is

LCM of Numerators i.e. for 40,84 is 840

GCF of denominators i.e. for 243,729 is 243.

Thus, LCM of Fractions is 840/243.Finally, LCM of Fractions for 40/243, 84/729 is 840/243.