Least Common Multiple of 18/63, 66/40, 33/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/63, 66/40, 33/627 quickly i.e. 198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/63, 66/40, 33/627 is 198.

LCM(18/63, 66/40, 33/627) = 198

LCM of 18/63, 66/40, 33/627

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 18/63,66/40,33/627

Given numbers are 18/63,66/40,33/627

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 18,66,33

Least Common Multiple of Numerators i.e. LCM of 18,66,33 is 198.

GCF of Denominators means GCF of 63,40,627 as per the given fractions.

GCF of 63,40,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,66,33

LCM of Fractions 18/63,66/40,33/627 is 198

2 18, 66, 33
3 9, 33, 33
11 3, 11, 11
3, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 1 x 1 = 198

Least Common Multiple of 18,66,33 with GCF Formula

Least Common Multiple of 18,66,33 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 18,66,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,66,33) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(18,66,33) x common factors =3 x 66 = 198

LCM(18,66,33) = ( 18 × 66 × 33 ) / 198

LCM(18,66,33) = 39204 / 198

LCM(18,66,33) = 198


Lets's calculate GCF of 63,40,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198/1

Therefore the LCM of Fractions 18/63,66/40,33/627 is 198

Greatest Common Factor of 63,40,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,40,627 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 63,40,627 . The biggest common factor number is the GCF number.
So the greatest common factor 63,40,627 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/63, 66/40, 33/627

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 18/63, 66/40, 33/627?

Answer: LCM of Numerators as per given numbers 18/63, 66/40, 33/627 is

LCM of Numerators i.e. for 18,66,33 is 198

GCF of denominators i.e. for 63,40,627 is 1.

Thus, LCM of Fractions is 198.Finally, LCM of Fractions for 18/63, 66/40, 33/627 is 198.