Least Common Multiple of 666/96, 387/2817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 666/96, 387/2817 quickly i.e. 9546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/96, 387/2817 is 9546.

LCM(666/96, 387/2817) = 9546

LCM of 666/96, 387/2817

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 666/96,387/2817

Given numbers are 666/96,387/2817

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 666,387

Least Common Multiple of Numerators i.e. LCM of 666,387 is 28638.

GCF of Denominators means GCF of 96,2817 as per the given fractions.

GCF of 96,2817 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,387

LCM of Fractions 666/96,387/2817 is 9546

3 666, 387
3 222, 129
74, 43

∴ So the LCM of the given numbers is 3 x 3 x 74 x 43 = 28638

Least Common Multiple of 666,387 with GCF Formula

Least Common Multiple of 666,387 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 666,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,387) = 9

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

GCF(666,387) x common factors =9 x 1 = 9

LCM(666,387) = ( 666 × 387 ) / 9

LCM(666,387) = 257742 / 9

LCM(666,387) = 28638


Lets's calculate GCF of 96,2817

3 96, 2817
32, 939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28638/3

Therefore the LCM of Fractions 666/96,387/2817 is 9546

Greatest Common Factor of 96,2817 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2817 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1,3,9,313,939,2817

Greatest Common Factor

We found the factors 96,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2817 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 666/96, 387/2817

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 666/96, 387/2817?

Answer: LCM of Numerators as per given numbers 666/96, 387/2817 is

LCM of Numerators i.e. for 666,387 is 28638

GCF of denominators i.e. for 96,2817 is 3.

Thus, LCM of Fractions is 9546.Finally, LCM of Fractions for 666/96, 387/2817 is 9546.