Least Common Multiple of 1008/384, 2064/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1008/384, 2064/576 quickly i.e. 43344/192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1008/384, 2064/576 is 43344/192.

LCM(1008/384, 2064/576) = 43344/192

LCM of 1008/384, 2064/576

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 1008/384,2064/576

Given numbers are 1008/384,2064/576

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 1008,2064

Least Common Multiple of Numerators i.e. LCM of 1008,2064 is 43344.

GCF of Denominators means GCF of 384,576 as per the given fractions.

GCF of 384,576 is 192 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1008,2064

LCM of Fractions 1008/384,2064/576 is 43344/192

2 1008, 2064
2 504, 1032
2 252, 516
2 126, 258
3 63, 129
21, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 21 x 43 = 43344

Least Common Multiple of 1008,2064 with GCF Formula

Least Common Multiple of 1008,2064 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 1008,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1008,2064) = 48

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

GCF(1008,2064) x common factors =48 x 1 = 48

LCM(1008,2064) = ( 1008 × 2064 ) / 48

LCM(1008,2064) = 2080512 / 48

LCM(1008,2064) = 43344


Lets's calculate GCF of 384,576

2 384, 576
2 192, 288
2 96, 144
2 48, 72
2 24, 36
2 12, 18
3 6, 9
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43344/192

Therefore the LCM of Fractions 1008/384,2064/576 is 43344/192

Greatest Common Factor of 384,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,576 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 384,576 . The biggest common factor number is the GCF number.
So the greatest common factor 384,576 is 192.


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 1008/384, 2064/576

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 1008/384, 2064/576?

Answer: LCM of Numerators as per given numbers 1008/384, 2064/576 is

LCM of Numerators i.e. for 1008,2064 is 43344

GCF of denominators i.e. for 384,576 is 192.

Thus, LCM of Fractions is 43344/192.Finally, LCM of Fractions for 1008/384, 2064/576 is 43344/192.