Least Common Multiple of 384/512, 254/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/512, 254/768 quickly i.e. 48768/256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/512, 254/768 is 48768/256.

LCM(384/512, 254/768) = 48768/256

LCM of 384/512, 254/768

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 384/512,254/768

Given numbers are 384/512,254/768

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 384,254

Least Common Multiple of Numerators i.e. LCM of 384,254 is 48768.

GCF of Denominators means GCF of 512,768 as per the given fractions.

GCF of 512,768 is 256 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,254

LCM of Fractions 384/512,254/768 is 48768/256

2 384, 254
192, 127

∴ So the LCM of the given numbers is 2 x 192 x 127 = 48768

Least Common Multiple of 384,254 with GCF Formula

Least Common Multiple of 384,254 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 384,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,254) = 2

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

GCF(384,254) x common factors =2 x 1 = 2

LCM(384,254) = ( 384 × 254 ) / 2

LCM(384,254) = 97536 / 2

LCM(384,254) = 48768


Lets's calculate GCF of 512,768

2 512, 768
2 256, 384
2 128, 192
2 64, 96
2 32, 48
2 16, 24
2 8, 12
2 4, 6
2, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48768/256

Therefore the LCM of Fractions 384/512,254/768 is 48768/256

Greatest Common Factor of 512,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,768 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 512,768 . The biggest common factor number is the GCF number.
So the greatest common factor 512,768 is 256.


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 384/512, 254/768

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 384/512, 254/768?

Answer: LCM of Numerators as per given numbers 384/512, 254/768 is

LCM of Numerators i.e. for 384,254 is 48768

GCF of denominators i.e. for 512,768 is 256.

Thus, LCM of Fractions is 48768/256.Finally, LCM of Fractions for 384/512, 254/768 is 48768/256.