Least Common Multiple of 48/512, 5809/7872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/512, 5809/7872 quickly i.e. 278832/64 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/512, 5809/7872 is 278832/64.

LCM(48/512, 5809/7872) = 278832/64

LCM of 48/512, 5809/7872

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 48/512,5809/7872

Given numbers are 48/512,5809/7872

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 48,5809

Least Common Multiple of Numerators i.e. LCM of 48,5809 is 278832.

GCF of Denominators means GCF of 512,7872 as per the given fractions.

GCF of 512,7872 is 64 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,5809

LCM of Fractions 48/512,5809/7872 is 278832/64

Given numbers has no common factors except 1. So, there LCM is their product i.e 278832

Least Common Multiple of 48,5809 with GCF Formula

Least Common Multiple of 48,5809 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 48,5809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,5809) = 1

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

GCF(48,5809) x common factors =1 x 1 = 1

LCM(48,5809) = ( 48 × 5809 ) / 1

LCM(48,5809) = 278832 / 1

LCM(48,5809) = 278832


Lets's calculate GCF of 512,7872

2 512, 7872
2 256, 3936
2 128, 1968
2 64, 984
2 32, 492
2 16, 246
8, 123

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278832/64

Therefore the LCM of Fractions 48/512,5809/7872 is 278832/64

Greatest Common Factor of 512,7872 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,7872 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 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Greatest Common Factor

We found the factors 512,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 512,7872 is 64.


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 48/512, 5809/7872

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 48/512, 5809/7872?

Answer: LCM of Numerators as per given numbers 48/512, 5809/7872 is

LCM of Numerators i.e. for 48,5809 is 278832

GCF of denominators i.e. for 512,7872 is 64.

Thus, LCM of Fractions is 278832/64.Finally, LCM of Fractions for 48/512, 5809/7872 is 278832/64.