Least Common Multiple of 5418/666, 3312/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5418/666, 3312/990 quickly i.e. 55384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5418/666, 3312/990 is 55384.

LCM(5418/666, 3312/990) = 55384

LCM of 5418/666, 3312/990

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 5418/666,3312/990

Given numbers are 5418/666,3312/990

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 5418,3312

Least Common Multiple of Numerators i.e. LCM of 5418,3312 is 996912.

GCF of Denominators means GCF of 666,990 as per the given fractions.

GCF of 666,990 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5418,3312

LCM of Fractions 5418/666,3312/990 is 55384

2 5418, 3312
3 2709, 1656
3 903, 552
301, 184

∴ So the LCM of the given numbers is 2 x 3 x 3 x 301 x 184 = 996912

Least Common Multiple of 5418,3312 with GCF Formula

Least Common Multiple of 5418,3312 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 5418,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5418,3312) = 18

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

GCF(5418,3312) x common factors =18 x 1 = 18

LCM(5418,3312) = ( 5418 × 3312 ) / 18

LCM(5418,3312) = 17944416 / 18

LCM(5418,3312) = 996912


Lets's calculate GCF of 666,990

2 666, 990
3 333, 495
3 111, 165
37, 55

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996912/18

Therefore the LCM of Fractions 5418/666,3312/990 is 55384

Greatest Common Factor of 666,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,990 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 666,990 . The biggest common factor number is the GCF number.
So the greatest common factor 666,990 is 18.


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 5418/666, 3312/990

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 5418/666, 3312/990?

Answer: LCM of Numerators as per given numbers 5418/666, 3312/990 is

LCM of Numerators i.e. for 5418,3312 is 996912

GCF of denominators i.e. for 666,990 is 18.

Thus, LCM of Fractions is 55384.Finally, LCM of Fractions for 5418/666, 3312/990 is 55384.