Least Common Multiple of 21/99, 47/81, 82/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/99, 47/81, 82/723 quickly i.e. 26978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/99, 47/81, 82/723 is 26978.

LCM(21/99, 47/81, 82/723) = 26978

LCM of 21/99, 47/81, 82/723

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 21/99,47/81,82/723

Given numbers are 21/99,47/81,82/723

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 21,47,82

Least Common Multiple of Numerators i.e. LCM of 21,47,82 is 80934.

GCF of Denominators means GCF of 99,81,723 as per the given fractions.

GCF of 99,81,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,47,82

LCM of Fractions 21/99,47/81,82/723 is 26978

Given numbers has no common factors except 1. So, there LCM is their product i.e 80934

Least Common Multiple of 21,47,82 with GCF Formula

Least Common Multiple of 21,47,82 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 21,47,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,47,82) = 1

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

GCF(21,47,82) x common factors =1 x 1 = 1

LCM(21,47,82) = ( 21 × 47 × 82 ) / 1

LCM(21,47,82) = 80934 / 1

LCM(21,47,82) = 80934


Lets's calculate GCF of 99,81,723

3 99, 81, 723
33, 27, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80934/3

Therefore the LCM of Fractions 21/99,47/81,82/723 is 26978

Greatest Common Factor of 99,81,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,81,723 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 81

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

1,3,9,27,81

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 99,81,723 . The biggest common factor number is the GCF number.
So the greatest common factor 99,81,723 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 21/99, 47/81, 82/723

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 21/99, 47/81, 82/723?

Answer: LCM of Numerators as per given numbers 21/99, 47/81, 82/723 is

LCM of Numerators i.e. for 21,47,82 is 80934

GCF of denominators i.e. for 99,81,723 is 3.

Thus, LCM of Fractions is 26978.Finally, LCM of Fractions for 21/99, 47/81, 82/723 is 26978.