Least Common Multiple of 84/81, 57/42, 567/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/81, 57/42, 567/21 quickly i.e. 14364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/81, 57/42, 567/21 is 14364.

LCM(84/81, 57/42, 567/21) = 14364

LCM of 84/81, 57/42, 567/21

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 84/81,57/42,567/21

Given numbers are 84/81,57/42,567/21

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 84,57,567

Least Common Multiple of Numerators i.e. LCM of 84,57,567 is 43092.

GCF of Denominators means GCF of 81,42,21 as per the given fractions.

GCF of 81,42,21 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,57,567

LCM of Fractions 84/81,57/42,567/21 is 14364

3 84, 57, 567
7 28, 19, 189
4, 19, 27

∴ So the LCM of the given numbers is 3 x 7 x 4 x 19 x 27 = 43092

Least Common Multiple of 84,57,567 with GCF Formula

Least Common Multiple of 84,57,567 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 84,57,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,57,567) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(84,57,567) x common factors =3 x 21 = 63

LCM(84,57,567) = ( 84 × 57 × 567 ) / 63

LCM(84,57,567) = 2714796 / 63

LCM(84,57,567) = 43092


Lets's calculate GCF of 81,42,21

3 81, 42, 21
27, 14, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43092/3

Therefore the LCM of Fractions 84/81,57/42,567/21 is 14364

Greatest Common Factor of 81,42,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,21 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 81,42,21 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,21 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 84/81, 57/42, 567/21

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 84/81, 57/42, 567/21?

Answer: LCM of Numerators as per given numbers 84/81, 57/42, 567/21 is

LCM of Numerators i.e. for 84,57,567 is 43092

GCF of denominators i.e. for 81,42,21 is 3.

Thus, LCM of Fractions is 14364.Finally, LCM of Fractions for 84/81, 57/42, 567/21 is 14364.