Least Common Multiple of 82/48, 21/69, 48/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/48, 21/69, 48/243 quickly i.e. 4592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/48, 21/69, 48/243 is 4592.

LCM(82/48, 21/69, 48/243) = 4592

LCM of 82/48, 21/69, 48/243

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 82/48,21/69,48/243

Given numbers are 82/48,21/69,48/243

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 82,21,48

Least Common Multiple of Numerators i.e. LCM of 82,21,48 is 13776.

GCF of Denominators means GCF of 48,69,243 as per the given fractions.

GCF of 48,69,243 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,21,48

LCM of Fractions 82/48,21/69,48/243 is 4592

2 82, 21, 48
3 41, 21, 24
41, 7, 8

∴ So the LCM of the given numbers is 2 x 3 x 41 x 7 x 8 = 13776

Least Common Multiple of 82,21,48 with GCF Formula

Least Common Multiple of 82,21,48 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 82,21,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,21,48) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,21,48) x common factors =1 x 6 = 6

LCM(82,21,48) = ( 82 × 21 × 48 ) / 6

LCM(82,21,48) = 82656 / 6

LCM(82,21,48) = 13776


Lets's calculate GCF of 48,69,243

3 48, 69, 243
16, 23, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13776/3

Therefore the LCM of Fractions 82/48,21/69,48/243 is 4592

Greatest Common Factor of 48,69,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,69,243 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 243

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

1,3,9,27,81,243

Greatest Common Factor

We found the factors 48,69,243 . The biggest common factor number is the GCF number.
So the greatest common factor 48,69,243 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 82/48, 21/69, 48/243

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 82/48, 21/69, 48/243?

Answer: LCM of Numerators as per given numbers 82/48, 21/69, 48/243 is

LCM of Numerators i.e. for 82,21,48 is 13776

GCF of denominators i.e. for 48,69,243 is 3.

Thus, LCM of Fractions is 4592.Finally, LCM of Fractions for 82/48, 21/69, 48/243 is 4592.