Least Common Multiple of 585/17, 873/36, 939/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/17, 873/36, 939/603 quickly i.e. 17761185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/17, 873/36, 939/603 is 17761185.

LCM(585/17, 873/36, 939/603) = 17761185

LCM of 585/17, 873/36, 939/603

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 585/17,873/36,939/603

Given numbers are 585/17,873/36,939/603

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 585,873,939

Least Common Multiple of Numerators i.e. LCM of 585,873,939 is 17761185.

GCF of Denominators means GCF of 17,36,603 as per the given fractions.

GCF of 17,36,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,873,939

LCM of Fractions 585/17,873/36,939/603 is 17761185

3 585, 873, 939
3 195, 291, 313
65, 97, 313

∴ So the LCM of the given numbers is 3 x 3 x 65 x 97 x 313 = 17761185

Least Common Multiple of 585,873,939 with GCF Formula

Least Common Multiple of 585,873,939 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 585,873,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,873,939) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(585,873,939) x common factors =3 x 9 = 27

LCM(585,873,939) = ( 585 × 873 × 939 ) / 27

LCM(585,873,939) = 479551995 / 27

LCM(585,873,939) = 17761185


Lets's calculate GCF of 17,36,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17761185/1

Therefore the LCM of Fractions 585/17,873/36,939/603 is 17761185

Greatest Common Factor of 17,36,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,36,603 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 17,36,603 . The biggest common factor number is the GCF number.
So the greatest common factor 17,36,603 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 585/17, 873/36, 939/603

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 585/17, 873/36, 939/603?

Answer: LCM of Numerators as per given numbers 585/17, 873/36, 939/603 is

LCM of Numerators i.e. for 585,873,939 is 17761185

GCF of denominators i.e. for 17,36,603 is 1.

Thus, LCM of Fractions is 17761185.Finally, LCM of Fractions for 585/17, 873/36, 939/603 is 17761185.