Least Common Multiple of 585/27, 335/2397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/27, 335/2397 quickly i.e. 13065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/27, 335/2397 is 13065.

LCM(585/27, 335/2397) = 13065

LCM of 585/27, 335/2397

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 585/27,335/2397

Given numbers are 585/27,335/2397

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 585,335

Least Common Multiple of Numerators i.e. LCM of 585,335 is 39195.

GCF of Denominators means GCF of 27,2397 as per the given fractions.

GCF of 27,2397 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,335

LCM of Fractions 585/27,335/2397 is 13065

5 585, 335
117, 67

∴ So the LCM of the given numbers is 5 x 117 x 67 = 39195

Least Common Multiple of 585,335 with GCF Formula

Least Common Multiple of 585,335 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 585,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,335) = 5

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

GCF(585,335) x common factors =5 x 1 = 5

LCM(585,335) = ( 585 × 335 ) / 5

LCM(585,335) = 195975 / 5

LCM(585,335) = 39195


Lets's calculate GCF of 27,2397

3 27, 2397
9, 799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39195/3

Therefore the LCM of Fractions 585/27,335/2397 is 13065

Greatest Common Factor of 27,2397 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2397 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 2397

List of positive integer factors of 2397 that divides 2397 without a remainder.

1,3,17,47,51,141,799,2397

Greatest Common Factor

We found the factors 27,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2397 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 585/27, 335/2397

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 585/27, 335/2397?

Answer: LCM of Numerators as per given numbers 585/27, 335/2397 is

LCM of Numerators i.e. for 585,335 is 39195

GCF of denominators i.e. for 27,2397 is 3.

Thus, LCM of Fractions is 13065.Finally, LCM of Fractions for 585/27, 335/2397 is 13065.