Least Common Multiple of 519/641, 330/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 519/641, 330/804 quickly i.e. 57090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/641, 330/804 is 57090.

LCM(519/641, 330/804) = 57090

LCM of 519/641, 330/804

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 519/641,330/804

Given numbers are 519/641,330/804

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 519,330

Least Common Multiple of Numerators i.e. LCM of 519,330 is 57090.

GCF of Denominators means GCF of 641,804 as per the given fractions.

GCF of 641,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,330

LCM of Fractions 519/641,330/804 is 57090

3 519, 330
173, 110

∴ So the LCM of the given numbers is 3 x 173 x 110 = 57090

Least Common Multiple of 519,330 with GCF Formula

Least Common Multiple of 519,330 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 519,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,330) = 3

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

GCF(519,330) x common factors =3 x 1 = 3

LCM(519,330) = ( 519 × 330 ) / 3

LCM(519,330) = 171270 / 3

LCM(519,330) = 57090


Lets's calculate GCF of 641,804

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57090/1

Therefore the LCM of Fractions 519/641,330/804 is 57090

Greatest Common Factor of 641,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,804 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 641,804 . The biggest common factor number is the GCF number.
So the greatest common factor 641,804 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 519/641, 330/804

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 519/641, 330/804?

Answer: LCM of Numerators as per given numbers 519/641, 330/804 is

LCM of Numerators i.e. for 519,330 is 57090

GCF of denominators i.e. for 641,804 is 1.

Thus, LCM of Fractions is 57090.Finally, LCM of Fractions for 519/641, 330/804 is 57090.