Least Common Multiple of 33/576, 43/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/576, 43/513 quickly i.e. 1419/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/576, 43/513 is 1419/9.

LCM(33/576, 43/513) = 1419/9

LCM of 33/576, 43/513

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 33/576,43/513

Given numbers are 33/576,43/513

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 33,43

Least Common Multiple of Numerators i.e. LCM of 33,43 is 1419.

GCF of Denominators means GCF of 576,513 as per the given fractions.

GCF of 576,513 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,43

LCM of Fractions 33/576,43/513 is 1419/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 1419

Least Common Multiple of 33,43 with GCF Formula

Least Common Multiple of 33,43 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 33,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,43) = 1

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

GCF(33,43) x common factors =1 x 1 = 1

LCM(33,43) = ( 33 × 43 ) / 1

LCM(33,43) = 1419 / 1

LCM(33,43) = 1419


Lets's calculate GCF of 576,513

3 576, 513
3 192, 171
64, 57

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1419/9

Therefore the LCM of Fractions 33/576,43/513 is 1419/9

Greatest Common Factor of 576,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,513 By Matching Biggest Common Factor Method

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

Factors of 513

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

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

Greatest Common Factor

We found the factors 576,513 . The biggest common factor number is the GCF number.
So the greatest common factor 576,513 is 9.


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 33/576, 43/513

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 33/576, 43/513?

Answer: LCM of Numerators as per given numbers 33/576, 43/513 is

LCM of Numerators i.e. for 33,43 is 1419

GCF of denominators i.e. for 576,513 is 9.

Thus, LCM of Fractions is 1419/9.Finally, LCM of Fractions for 33/576, 43/513 is 1419/9.