Least Common Multiple of 6/18, 67/66, 466/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/18, 67/66, 466/21 quickly i.e. 31222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/18, 67/66, 466/21 is 31222.

LCM(6/18, 67/66, 466/21) = 31222

LCM of 6/18, 67/66, 466/21

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 6/18,67/66,466/21

Given numbers are 6/18,67/66,466/21

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 6,67,466

Least Common Multiple of Numerators i.e. LCM of 6,67,466 is 93666.

GCF of Denominators means GCF of 18,66,21 as per the given fractions.

GCF of 18,66,21 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,67,466

LCM of Fractions 6/18,67/66,466/21 is 31222

2 6, 67, 466
3, 67, 233

∴ So the LCM of the given numbers is 2 x 3 x 67 x 233 = 93666

Least Common Multiple of 6,67,466 with GCF Formula

Least Common Multiple of 6,67,466 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 6,67,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,67,466) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,67,466) x common factors =1 x 2 = 2

LCM(6,67,466) = ( 6 × 67 × 466 ) / 2

LCM(6,67,466) = 187332 / 2

LCM(6,67,466) = 93666


Lets's calculate GCF of 18,66,21

3 18, 66, 21
6, 22, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93666/3

Therefore the LCM of Fractions 6/18,67/66,466/21 is 31222

Greatest Common Factor of 18,66,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,66,21 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 18,66,21 . The biggest common factor number is the GCF number.
So the greatest common factor 18,66,21 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 6/18, 67/66, 466/21

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 6/18, 67/66, 466/21?

Answer: LCM of Numerators as per given numbers 6/18, 67/66, 466/21 is

LCM of Numerators i.e. for 6,67,466 is 93666

GCF of denominators i.e. for 18,66,21 is 3.

Thus, LCM of Fractions is 31222.Finally, LCM of Fractions for 6/18, 67/66, 466/21 is 31222.