Least Common Multiple of 45/66, 18/18, 171/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/66, 18/18, 171/412 quickly i.e. 855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/66, 18/18, 171/412 is 855.

LCM(45/66, 18/18, 171/412) = 855

LCM of 45/66, 18/18, 171/412

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 45/66,18/18,171/412

Given numbers are 45/66,18/18,171/412

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 45,18,171

Least Common Multiple of Numerators i.e. LCM of 45,18,171 is 1710.

GCF of Denominators means GCF of 66,18,412 as per the given fractions.

GCF of 66,18,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,18,171

LCM of Fractions 45/66,18/18,171/412 is 855

3 45, 18, 171
3 15, 6, 57
5, 2, 19

∴ So the LCM of the given numbers is 3 x 3 x 5 x 2 x 19 = 1710

Least Common Multiple of 45,18,171 with GCF Formula

Least Common Multiple of 45,18,171 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 45,18,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,18,171) = 9

common factors(in case of two or more numbers have common factors) = 9

GCF(45,18,171) x common factors =9 x 9 = 81

LCM(45,18,171) = ( 45 × 18 × 171 ) / 81

LCM(45,18,171) = 138510 / 81

LCM(45,18,171) = 1710


Lets's calculate GCF of 66,18,412

2 66, 18, 412
33, 9, 206

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1710/2

Therefore the LCM of Fractions 45/66,18/18,171/412 is 855

Greatest Common Factor of 66,18,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,18,412 By Matching Biggest Common Factor Method

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 18

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

1,2,3,6,9,18

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 66,18,412 . The biggest common factor number is the GCF number.
So the greatest common factor 66,18,412 is 2.


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 45/66, 18/18, 171/412

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 45/66, 18/18, 171/412?

Answer: LCM of Numerators as per given numbers 45/66, 18/18, 171/412 is

LCM of Numerators i.e. for 45,18,171 is 1710

GCF of denominators i.e. for 66,18,412 is 2.

Thus, LCM of Fractions is 855.Finally, LCM of Fractions for 45/66, 18/18, 171/412 is 855.