Least Common Multiple of 144/230, 180/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/230, 180/172 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/230, 180/172 is 360.

LCM(144/230, 180/172) = 360

LCM of 144/230, 180/172

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 144/230,180/172

Given numbers are 144/230,180/172

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 144,180

Least Common Multiple of Numerators i.e. LCM of 144,180 is 720.

GCF of Denominators means GCF of 230,172 as per the given fractions.

GCF of 230,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,180

LCM of Fractions 144/230,180/172 is 360

2 144, 180
2 72, 90
3 36, 45
3 12, 15
4, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 4 x 5 = 720

Least Common Multiple of 144,180 with GCF Formula

Least Common Multiple of 144,180 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 144,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,180) = 36

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

GCF(144,180) x common factors =36 x 1 = 36

LCM(144,180) = ( 144 × 180 ) / 36

LCM(144,180) = 25920 / 36

LCM(144,180) = 720


Lets's calculate GCF of 230,172

2 230, 172
115, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720/2

Therefore the LCM of Fractions 144/230,180/172 is 360

Greatest Common Factor of 230,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,172 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 230,172 . The biggest common factor number is the GCF number.
So the greatest common factor 230,172 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 144/230, 180/172

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 144/230, 180/172?

Answer: LCM of Numerators as per given numbers 144/230, 180/172 is

LCM of Numerators i.e. for 144,180 is 720

GCF of denominators i.e. for 230,172 is 2.

Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 144/230, 180/172 is 360.