Least Common Multiple of 4576/513, 6399/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4576/513, 6399/933 quickly i.e. 9760608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4576/513, 6399/933 is 9760608.

LCM(4576/513, 6399/933) = 9760608

LCM of 4576/513, 6399/933

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 4576/513,6399/933

Given numbers are 4576/513,6399/933

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 4576,6399

Least Common Multiple of Numerators i.e. LCM of 4576,6399 is 29281824.

GCF of Denominators means GCF of 513,933 as per the given fractions.

GCF of 513,933 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4576,6399

LCM of Fractions 4576/513,6399/933 is 9760608

Given numbers has no common factors except 1. So, there LCM is their product i.e 29281824

Least Common Multiple of 4576,6399 with GCF Formula

Least Common Multiple of 4576,6399 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 4576,6399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4576,6399) = 1

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

GCF(4576,6399) x common factors =1 x 1 = 1

LCM(4576,6399) = ( 4576 × 6399 ) / 1

LCM(4576,6399) = 29281824 / 1

LCM(4576,6399) = 29281824


Lets's calculate GCF of 513,933

3 513, 933
171, 311

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29281824/3

Therefore the LCM of Fractions 4576/513,6399/933 is 9760608

Greatest Common Factor of 513,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,933 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 513,933 . The biggest common factor number is the GCF number.
So the greatest common factor 513,933 is 3.


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 4576/513, 6399/933

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 4576/513, 6399/933?

Answer: LCM of Numerators as per given numbers 4576/513, 6399/933 is

LCM of Numerators i.e. for 4576,6399 is 29281824

GCF of denominators i.e. for 513,933 is 3.

Thus, LCM of Fractions is 9760608.Finally, LCM of Fractions for 4576/513, 6399/933 is 9760608.