Least Common Multiple of 150/12, 384/63, 230/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/12, 384/63, 230/638 quickly i.e. 220800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/12, 384/63, 230/638 is 220800.

LCM(150/12, 384/63, 230/638) = 220800

LCM of 150/12, 384/63, 230/638

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 150/12,384/63,230/638

Given numbers are 150/12,384/63,230/638

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 150,384,230

Least Common Multiple of Numerators i.e. LCM of 150,384,230 is 220800.

GCF of Denominators means GCF of 12,63,638 as per the given fractions.

GCF of 12,63,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,384,230

LCM of Fractions 150/12,384/63,230/638 is 220800

2 150, 384, 230
3 75, 192, 115
5 25, 64, 115
5, 64, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 64 x 23 = 220800

Least Common Multiple of 150,384,230 with GCF Formula

Least Common Multiple of 150,384,230 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 150,384,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,384,230) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(150,384,230) x common factors =2 x 30 = 60

LCM(150,384,230) = ( 150 × 384 × 230 ) / 60

LCM(150,384,230) = 13248000 / 60

LCM(150,384,230) = 220800


Lets's calculate GCF of 12,63,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220800/1

Therefore the LCM of Fractions 150/12,384/63,230/638 is 220800

Greatest Common Factor of 12,63,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,63,638 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 63

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

1,3,7,9,21,63

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 12,63,638 . The biggest common factor number is the GCF number.
So the greatest common factor 12,63,638 is 1.


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 150/12, 384/63, 230/638

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 150/12, 384/63, 230/638?

Answer: LCM of Numerators as per given numbers 150/12, 384/63, 230/638 is

LCM of Numerators i.e. for 150,384,230 is 220800

GCF of denominators i.e. for 12,63,638 is 1.

Thus, LCM of Fractions is 220800.Finally, LCM of Fractions for 150/12, 384/63, 230/638 is 220800.