Least Common Multiple of 462/81, 387/2796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/81, 387/2796 quickly i.e. 19866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/81, 387/2796 is 19866.

LCM(462/81, 387/2796) = 19866

LCM of 462/81, 387/2796

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 462/81,387/2796

Given numbers are 462/81,387/2796

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 462,387

Least Common Multiple of Numerators i.e. LCM of 462,387 is 59598.

GCF of Denominators means GCF of 81,2796 as per the given fractions.

GCF of 81,2796 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,387

LCM of Fractions 462/81,387/2796 is 19866

3 462, 387
154, 129

∴ So the LCM of the given numbers is 3 x 154 x 129 = 59598

Least Common Multiple of 462,387 with GCF Formula

Least Common Multiple of 462,387 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 462,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,387) = 3

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

GCF(462,387) x common factors =3 x 1 = 3

LCM(462,387) = ( 462 × 387 ) / 3

LCM(462,387) = 178794 / 3

LCM(462,387) = 59598


Lets's calculate GCF of 81,2796

3 81, 2796
27, 932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59598/3

Therefore the LCM of Fractions 462/81,387/2796 is 19866

Greatest Common Factor of 81,2796 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,2796 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 2796

List of positive integer factors of 2796 that divides 2796 without a remainder.

1,2,3,4,6,12,233,466,699,932,1398,2796

Greatest Common Factor

We found the factors 81,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 81,2796 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 462/81, 387/2796

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 462/81, 387/2796?

Answer: LCM of Numerators as per given numbers 462/81, 387/2796 is

LCM of Numerators i.e. for 462,387 is 59598

GCF of denominators i.e. for 81,2796 is 3.

Thus, LCM of Fractions is 19866.Finally, LCM of Fractions for 462/81, 387/2796 is 19866.