Least Common Multiple of 585/594, 604/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/594, 604/384 quickly i.e. 58890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/594, 604/384 is 58890.

LCM(585/594, 604/384) = 58890

LCM of 585/594, 604/384

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 585/594,604/384

Given numbers are 585/594,604/384

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 585,604

Least Common Multiple of Numerators i.e. LCM of 585,604 is 353340.

GCF of Denominators means GCF of 594,384 as per the given fractions.

GCF of 594,384 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,604

LCM of Fractions 585/594,604/384 is 58890

Given numbers has no common factors except 1. So, there LCM is their product i.e 353340

Least Common Multiple of 585,604 with GCF Formula

Least Common Multiple of 585,604 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 585,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,604) = 1

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

GCF(585,604) x common factors =1 x 1 = 1

LCM(585,604) = ( 585 × 604 ) / 1

LCM(585,604) = 353340 / 1

LCM(585,604) = 353340


Lets's calculate GCF of 594,384

2 594, 384
3 297, 192
99, 64

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353340/6

Therefore the LCM of Fractions 585/594,604/384 is 58890

Greatest Common Factor of 594,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,384 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 594,384 . The biggest common factor number is the GCF number.
So the greatest common factor 594,384 is 6.


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 585/594, 604/384

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 585/594, 604/384?

Answer: LCM of Numerators as per given numbers 585/594, 604/384 is

LCM of Numerators i.e. for 585,604 is 353340

GCF of denominators i.e. for 594,384 is 6.

Thus, LCM of Fractions is 58890.Finally, LCM of Fractions for 585/594, 604/384 is 58890.