Least Common Multiple of 585/90, 609/6825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/90, 609/6825 quickly i.e. 7917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/90, 609/6825 is 7917.

LCM(585/90, 609/6825) = 7917

LCM of 585/90, 609/6825

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 585/90,609/6825

Given numbers are 585/90,609/6825

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 585,609

Least Common Multiple of Numerators i.e. LCM of 585,609 is 118755.

GCF of Denominators means GCF of 90,6825 as per the given fractions.

GCF of 90,6825 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,609

LCM of Fractions 585/90,609/6825 is 7917

3 585, 609
195, 203

∴ So the LCM of the given numbers is 3 x 195 x 203 = 118755

Least Common Multiple of 585,609 with GCF Formula

Least Common Multiple of 585,609 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 585,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,609) = 3

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

GCF(585,609) x common factors =3 x 1 = 3

LCM(585,609) = ( 585 × 609 ) / 3

LCM(585,609) = 356265 / 3

LCM(585,609) = 118755


Lets's calculate GCF of 90,6825

3 90, 6825
5 30, 2275
6, 455

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118755/15

Therefore the LCM of Fractions 585/90,609/6825 is 7917

Greatest Common Factor of 90,6825 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,6825 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Greatest Common Factor

We found the factors 90,6825 . The biggest common factor number is the GCF number.
So the greatest common factor 90,6825 is 15.


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 585/90, 609/6825

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 585/90, 609/6825?

Answer: LCM of Numerators as per given numbers 585/90, 609/6825 is

LCM of Numerators i.e. for 585,609 is 118755

GCF of denominators i.e. for 90,6825 is 15.

Thus, LCM of Fractions is 7917.Finally, LCM of Fractions for 585/90, 609/6825 is 7917.