Least Common Multiple of 519/325, 288/595, 302/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/325, 288/595, 302/766 quickly i.e. 7523424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/325, 288/595, 302/766 is 7523424.

LCM(519/325, 288/595, 302/766) = 7523424

LCM of 519/325, 288/595, 302/766

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 519/325,288/595,302/766

Given numbers are 519/325,288/595,302/766

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 519,288,302

Least Common Multiple of Numerators i.e. LCM of 519,288,302 is 7523424.

GCF of Denominators means GCF of 325,595,766 as per the given fractions.

GCF of 325,595,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,288,302

LCM of Fractions 519/325,288/595,302/766 is 7523424

2 519, 288, 302
3 519, 144, 151
173, 48, 151

∴ So the LCM of the given numbers is 2 x 3 x 173 x 48 x 151 = 7523424

Least Common Multiple of 519,288,302 with GCF Formula

Least Common Multiple of 519,288,302 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 519,288,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,288,302) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(519,288,302) x common factors =1 x 6 = 6

LCM(519,288,302) = ( 519 × 288 × 302 ) / 6

LCM(519,288,302) = 45140544 / 6

LCM(519,288,302) = 7523424


Lets's calculate GCF of 325,595,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7523424/1

Therefore the LCM of Fractions 519/325,288/595,302/766 is 7523424

Greatest Common Factor of 325,595,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,595,766 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 325,595,766 . The biggest common factor number is the GCF number.
So the greatest common factor 325,595,766 is 1.


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 519/325, 288/595, 302/766

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 519/325, 288/595, 302/766?

Answer: LCM of Numerators as per given numbers 519/325, 288/595, 302/766 is

LCM of Numerators i.e. for 519,288,302 is 7523424

GCF of denominators i.e. for 325,595,766 is 1.

Thus, LCM of Fractions is 7523424.Finally, LCM of Fractions for 519/325, 288/595, 302/766 is 7523424.