Least Common Multiple of 93/509, 96/593, 873/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/509, 96/593, 873/345 quickly i.e. 866016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/509, 96/593, 873/345 is 866016.

LCM(93/509, 96/593, 873/345) = 866016

LCM of 93/509, 96/593, 873/345

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 93/509,96/593,873/345

Given numbers are 93/509,96/593,873/345

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 93,96,873

Least Common Multiple of Numerators i.e. LCM of 93,96,873 is 866016.

GCF of Denominators means GCF of 509,593,345 as per the given fractions.

GCF of 509,593,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,96,873

LCM of Fractions 93/509,96/593,873/345 is 866016

3 93, 96, 873
31, 32, 291

∴ So the LCM of the given numbers is 3 x 31 x 32 x 291 = 866016

Least Common Multiple of 93,96,873 with GCF Formula

Least Common Multiple of 93,96,873 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 93,96,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,96,873) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,96,873) x common factors =3 x 3 = 9

LCM(93,96,873) = ( 93 × 96 × 873 ) / 9

LCM(93,96,873) = 7794144 / 9

LCM(93,96,873) = 866016


Lets's calculate GCF of 509,593,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866016/1

Therefore the LCM of Fractions 93/509,96/593,873/345 is 866016

Greatest Common Factor of 509,593,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,593,345 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 509,593,345 . The biggest common factor number is the GCF number.
So the greatest common factor 509,593,345 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 93/509, 96/593, 873/345

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 93/509, 96/593, 873/345?

Answer: LCM of Numerators as per given numbers 93/509, 96/593, 873/345 is

LCM of Numerators i.e. for 93,96,873 is 866016

GCF of denominators i.e. for 509,593,345 is 1.

Thus, LCM of Fractions is 866016.Finally, LCM of Fractions for 93/509, 96/593, 873/345 is 866016.