Least Common Multiple of 36/663, 18/649, 867/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/663, 18/649, 867/912 quickly i.e. 10404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/663, 18/649, 867/912 is 10404.

LCM(36/663, 18/649, 867/912) = 10404

LCM of 36/663, 18/649, 867/912

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 36/663,18/649,867/912

Given numbers are 36/663,18/649,867/912

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 36,18,867

Least Common Multiple of Numerators i.e. LCM of 36,18,867 is 10404.

GCF of Denominators means GCF of 663,649,912 as per the given fractions.

GCF of 663,649,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,18,867

LCM of Fractions 36/663,18/649,867/912 is 10404

2 36, 18, 867
3 18, 9, 867
3 6, 3, 289
2, 1, 289

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 1 x 289 = 10404

Least Common Multiple of 36,18,867 with GCF Formula

Least Common Multiple of 36,18,867 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 36,18,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,18,867) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(36,18,867) x common factors =3 x 18 = 54

LCM(36,18,867) = ( 36 × 18 × 867 ) / 54

LCM(36,18,867) = 561816 / 54

LCM(36,18,867) = 10404


Lets's calculate GCF of 663,649,912

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10404/1

Therefore the LCM of Fractions 36/663,18/649,867/912 is 10404

Greatest Common Factor of 663,649,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,649,912 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 663,649,912 . The biggest common factor number is the GCF number.
So the greatest common factor 663,649,912 is 1.


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 36/663, 18/649, 867/912

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 36/663, 18/649, 867/912?

Answer: LCM of Numerators as per given numbers 36/663, 18/649, 867/912 is

LCM of Numerators i.e. for 36,18,867 is 10404

GCF of denominators i.e. for 663,649,912 is 1.

Thus, LCM of Fractions is 10404.Finally, LCM of Fractions for 36/663, 18/649, 867/912 is 10404.