Least Common Multiple of 128/27, 4090/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 128/27, 4090/243 quickly i.e. 261760/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/27, 4090/243 is 261760/27.

LCM(128/27, 4090/243) = 261760/27

LCM of 128/27, 4090/243

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 128/27,4090/243

Given numbers are 128/27,4090/243

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 128,4090

Least Common Multiple of Numerators i.e. LCM of 128,4090 is 261760.

GCF of Denominators means GCF of 27,243 as per the given fractions.

GCF of 27,243 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,4090

LCM of Fractions 128/27,4090/243 is 261760/27

2 128, 4090
64, 2045

∴ So the LCM of the given numbers is 2 x 64 x 2045 = 261760

Least Common Multiple of 128,4090 with GCF Formula

Least Common Multiple of 128,4090 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 128,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,4090) = 2

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

GCF(128,4090) x common factors =2 x 1 = 2

LCM(128,4090) = ( 128 × 4090 ) / 2

LCM(128,4090) = 523520 / 2

LCM(128,4090) = 261760


Lets's calculate GCF of 27,243

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

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261760/27

Therefore the LCM of Fractions 128/27,4090/243 is 261760/27

Greatest Common Factor of 27,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,243 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

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 27,243 . The biggest common factor number is the GCF number.
So the greatest common factor 27,243 is 27.


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 128/27, 4090/243

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 128/27, 4090/243?

Answer: LCM of Numerators as per given numbers 128/27, 4090/243 is

LCM of Numerators i.e. for 128,4090 is 261760

GCF of denominators i.e. for 27,243 is 27.

Thus, LCM of Fractions is 261760/27.Finally, LCM of Fractions for 128/27, 4090/243 is 261760/27.