Least Common Multiple of 310/288, 440/825, 589/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/288, 440/825, 589/215 quickly i.e. 259160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/288, 440/825, 589/215 is 259160.

LCM(310/288, 440/825, 589/215) = 259160

LCM of 310/288, 440/825, 589/215

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 310/288,440/825,589/215

Given numbers are 310/288,440/825,589/215

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 310,440,589

Least Common Multiple of Numerators i.e. LCM of 310,440,589 is 259160.

GCF of Denominators means GCF of 288,825,215 as per the given fractions.

GCF of 288,825,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,440,589

LCM of Fractions 310/288,440/825,589/215 is 259160

2 310, 440, 589
5 155, 220, 589
31 31, 44, 589
1, 44, 19

∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 44 x 19 = 259160

Least Common Multiple of 310,440,589 with GCF Formula

Least Common Multiple of 310,440,589 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 310,440,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,440,589) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(310,440,589) x common factors =1 x 310 = 310

LCM(310,440,589) = ( 310 × 440 × 589 ) / 310

LCM(310,440,589) = 80339600 / 310

LCM(310,440,589) = 259160


Lets's calculate GCF of 288,825,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259160/1

Therefore the LCM of Fractions 310/288,440/825,589/215 is 259160

Greatest Common Factor of 288,825,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,825,215 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

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

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 288,825,215 . The biggest common factor number is the GCF number.
So the greatest common factor 288,825,215 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 310/288, 440/825, 589/215

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 310/288, 440/825, 589/215?

Answer: LCM of Numerators as per given numbers 310/288, 440/825, 589/215 is

LCM of Numerators i.e. for 310,440,589 is 259160

GCF of denominators i.e. for 288,825,215 is 1.

Thus, LCM of Fractions is 259160.Finally, LCM of Fractions for 310/288, 440/825, 589/215 is 259160.