Least Common Multiple of 81/255, 7817/1578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/255, 7817/1578 quickly i.e. 211059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/255, 7817/1578 is 211059.

LCM(81/255, 7817/1578) = 211059

LCM of 81/255, 7817/1578

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 81/255,7817/1578

Given numbers are 81/255,7817/1578

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 81,7817

Least Common Multiple of Numerators i.e. LCM of 81,7817 is 633177.

GCF of Denominators means GCF of 255,1578 as per the given fractions.

GCF of 255,1578 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,7817

LCM of Fractions 81/255,7817/1578 is 211059

Given numbers has no common factors except 1. So, there LCM is their product i.e 633177

Least Common Multiple of 81,7817 with GCF Formula

Least Common Multiple of 81,7817 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 81,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,7817) = 1

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

GCF(81,7817) x common factors =1 x 1 = 1

LCM(81,7817) = ( 81 × 7817 ) / 1

LCM(81,7817) = 633177 / 1

LCM(81,7817) = 633177


Lets's calculate GCF of 255,1578

3 255, 1578
85, 526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633177/3

Therefore the LCM of Fractions 81/255,7817/1578 is 211059

Greatest Common Factor of 255,1578 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,1578 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1,2,3,6,263,526,789,1578

Greatest Common Factor

We found the factors 255,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 255,1578 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 81/255, 7817/1578

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 81/255, 7817/1578?

Answer: LCM of Numerators as per given numbers 81/255, 7817/1578 is

LCM of Numerators i.e. for 81,7817 is 633177

GCF of denominators i.e. for 255,1578 is 3.

Thus, LCM of Fractions is 211059.Finally, LCM of Fractions for 81/255, 7817/1578 is 211059.