Least Common Multiple of 144/666, 1104/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/666, 1104/165 quickly i.e. 1104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/666, 1104/165 is 1104.

LCM(144/666, 1104/165) = 1104

LCM of 144/666, 1104/165

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 144/666,1104/165

Given numbers are 144/666,1104/165

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 144,1104

Least Common Multiple of Numerators i.e. LCM of 144,1104 is 3312.

GCF of Denominators means GCF of 666,165 as per the given fractions.

GCF of 666,165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,1104

LCM of Fractions 144/666,1104/165 is 1104

2 144, 1104
2 72, 552
2 36, 276
2 18, 138
3 9, 69
3, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 23 = 3312

Least Common Multiple of 144,1104 with GCF Formula

Least Common Multiple of 144,1104 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 144,1104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,1104) = 48

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

GCF(144,1104) x common factors =48 x 1 = 48

LCM(144,1104) = ( 144 × 1104 ) / 48

LCM(144,1104) = 158976 / 48

LCM(144,1104) = 3312


Lets's calculate GCF of 666,165

3 666, 165
222, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3312/3

Therefore the LCM of Fractions 144/666,1104/165 is 1104

Greatest Common Factor of 666,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,165 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 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 666,165 . The biggest common factor number is the GCF number.
So the greatest common factor 666,165 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 144/666, 1104/165

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 144/666, 1104/165?

Answer: LCM of Numerators as per given numbers 144/666, 1104/165 is

LCM of Numerators i.e. for 144,1104 is 3312

GCF of denominators i.e. for 666,165 is 3.

Thus, LCM of Fractions is 1104.Finally, LCM of Fractions for 144/666, 1104/165 is 1104.