Least Common Multiple of 39/648, 24/150, 441/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/648, 24/150, 441/328 quickly i.e. 22932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/648, 24/150, 441/328 is 22932.

LCM(39/648, 24/150, 441/328) = 22932

LCM of 39/648, 24/150, 441/328

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 39/648,24/150,441/328

Given numbers are 39/648,24/150,441/328

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 39,24,441

Least Common Multiple of Numerators i.e. LCM of 39,24,441 is 45864.

GCF of Denominators means GCF of 648,150,328 as per the given fractions.

GCF of 648,150,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,24,441

LCM of Fractions 39/648,24/150,441/328 is 22932

3 39, 24, 441
13, 8, 147

∴ So the LCM of the given numbers is 3 x 13 x 8 x 147 = 45864

Least Common Multiple of 39,24,441 with GCF Formula

Least Common Multiple of 39,24,441 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 39,24,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,24,441) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(39,24,441) x common factors =3 x 3 = 9

LCM(39,24,441) = ( 39 × 24 × 441 ) / 9

LCM(39,24,441) = 412776 / 9

LCM(39,24,441) = 45864


Lets's calculate GCF of 648,150,328

2 648, 150, 328
324, 75, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45864/2

Therefore the LCM of Fractions 39/648,24/150,441/328 is 22932

Greatest Common Factor of 648,150,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,150,328 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 648,150,328 . The biggest common factor number is the GCF number.
So the greatest common factor 648,150,328 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 39/648, 24/150, 441/328

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 39/648, 24/150, 441/328?

Answer: LCM of Numerators as per given numbers 39/648, 24/150, 441/328 is

LCM of Numerators i.e. for 39,24,441 is 45864

GCF of denominators i.e. for 648,150,328 is 2.

Thus, LCM of Fractions is 22932.Finally, LCM of Fractions for 39/648, 24/150, 441/328 is 22932.