Least Common Multiple of 585/60, 512/5989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/60, 512/5989 quickly i.e. 299520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/60, 512/5989 is 299520.

LCM(585/60, 512/5989) = 299520

LCM of 585/60, 512/5989

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 585/60,512/5989

Given numbers are 585/60,512/5989

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 585,512

Least Common Multiple of Numerators i.e. LCM of 585,512 is 299520.

GCF of Denominators means GCF of 60,5989 as per the given fractions.

GCF of 60,5989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,512

LCM of Fractions 585/60,512/5989 is 299520

Given numbers has no common factors except 1. So, there LCM is their product i.e 299520

Least Common Multiple of 585,512 with GCF Formula

Least Common Multiple of 585,512 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 585,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,512) = 1

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

GCF(585,512) x common factors =1 x 1 = 1

LCM(585,512) = ( 585 × 512 ) / 1

LCM(585,512) = 299520 / 1

LCM(585,512) = 299520


Lets's calculate GCF of 60,5989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299520/1

Therefore the LCM of Fractions 585/60,512/5989 is 299520

Greatest Common Factor of 60,5989 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5989 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 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Greatest Common Factor

We found the factors 60,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5989 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 585/60, 512/5989

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 585/60, 512/5989?

Answer: LCM of Numerators as per given numbers 585/60, 512/5989 is

LCM of Numerators i.e. for 585,512 is 299520

GCF of denominators i.e. for 60,5989 is 1.

Thus, LCM of Fractions is 299520.Finally, LCM of Fractions for 585/60, 512/5989 is 299520.