Least Common Multiple of 588/60, 519/24, 596/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/60, 519/24, 596/825 quickly i.e. 5052292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/60, 519/24, 596/825 is 5052292.

LCM(588/60, 519/24, 596/825) = 5052292

LCM of 588/60, 519/24, 596/825

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 588/60,519/24,596/825

Given numbers are 588/60,519/24,596/825

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 588,519,596

Least Common Multiple of Numerators i.e. LCM of 588,519,596 is 15156876.

GCF of Denominators means GCF of 60,24,825 as per the given fractions.

GCF of 60,24,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,519,596

LCM of Fractions 588/60,519/24,596/825 is 5052292

2 588, 519, 596
2 294, 519, 298
3 147, 519, 149
49, 173, 149

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 173 x 149 = 15156876

Least Common Multiple of 588,519,596 with GCF Formula

Least Common Multiple of 588,519,596 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 588,519,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,519,596) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(588,519,596) x common factors =1 x 12 = 12

LCM(588,519,596) = ( 588 × 519 × 596 ) / 12

LCM(588,519,596) = 181882512 / 12

LCM(588,519,596) = 15156876


Lets's calculate GCF of 60,24,825

3 60, 24, 825
20, 8, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15156876/3

Therefore the LCM of Fractions 588/60,519/24,596/825 is 5052292

Greatest Common Factor of 60,24,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,24,825 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 60,24,825 . The biggest common factor number is the GCF number.
So the greatest common factor 60,24,825 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 588/60, 519/24, 596/825

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 588/60, 519/24, 596/825?

Answer: LCM of Numerators as per given numbers 588/60, 519/24, 596/825 is

LCM of Numerators i.e. for 588,519,596 is 15156876

GCF of denominators i.e. for 60,24,825 is 3.

Thus, LCM of Fractions is 5052292.Finally, LCM of Fractions for 588/60, 519/24, 596/825 is 5052292.