Least Common Multiple of 81/255, 77/642, 487/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/255, 77/642, 487/108 quickly i.e. 1012473 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, 77/642, 487/108 is 1012473.

LCM(81/255, 77/642, 487/108) = 1012473

LCM of 81/255, 77/642, 487/108

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 81/255,77/642,487/108

Given numbers are 81/255,77/642,487/108

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 81,77,487

Least Common Multiple of Numerators i.e. LCM of 81,77,487 is 3037419.

GCF of Denominators means GCF of 255,642,108 as per the given fractions.

GCF of 255,642,108 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,77,487

LCM of Fractions 81/255,77/642,487/108 is 1012473

Given numbers has no common factors except 1. So, there LCM is their product i.e 3037419

Least Common Multiple of 81,77,487 with GCF Formula

Least Common Multiple of 81,77,487 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 81,77,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,77,487) = 1

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

GCF(81,77,487) x common factors =1 x 1 = 1

LCM(81,77,487) = ( 81 × 77 × 487 ) / 1

LCM(81,77,487) = 3037419 / 1

LCM(81,77,487) = 3037419


Lets's calculate GCF of 255,642,108

3 255, 642, 108
85, 214, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037419/3

Therefore the LCM of Fractions 81/255,77/642,487/108 is 1012473

Greatest Common Factor of 255,642,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,642,108 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 255,642,108 . The biggest common factor number is the GCF number.
So the greatest common factor 255,642,108 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, 77/642, 487/108

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, 77/642, 487/108?

Answer: LCM of Numerators as per given numbers 81/255, 77/642, 487/108 is

LCM of Numerators i.e. for 81,77,487 is 3037419

GCF of denominators i.e. for 255,642,108 is 3.

Thus, LCM of Fractions is 1012473.Finally, LCM of Fractions for 81/255, 77/642, 487/108 is 1012473.