Least Common Multiple of 594/173, 642/365, 867/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/173, 642/365, 867/470 quickly i.e. 18368262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/173, 642/365, 867/470 is 18368262.

LCM(594/173, 642/365, 867/470) = 18368262

LCM of 594/173, 642/365, 867/470

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 594/173,642/365,867/470

Given numbers are 594/173,642/365,867/470

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 594,642,867

Least Common Multiple of Numerators i.e. LCM of 594,642,867 is 18368262.

GCF of Denominators means GCF of 173,365,470 as per the given fractions.

GCF of 173,365,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,642,867

LCM of Fractions 594/173,642/365,867/470 is 18368262

2 594, 642, 867
3 297, 321, 867
99, 107, 289

∴ So the LCM of the given numbers is 2 x 3 x 99 x 107 x 289 = 18368262

Least Common Multiple of 594,642,867 with GCF Formula

Least Common Multiple of 594,642,867 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 594,642,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,642,867) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(594,642,867) x common factors =3 x 6 = 18

LCM(594,642,867) = ( 594 × 642 × 867 ) / 18

LCM(594,642,867) = 330628716 / 18

LCM(594,642,867) = 18368262


Lets's calculate GCF of 173,365,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18368262/1

Therefore the LCM of Fractions 594/173,642/365,867/470 is 18368262

Greatest Common Factor of 173,365,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,365,470 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 173,365,470 . The biggest common factor number is the GCF number.
So the greatest common factor 173,365,470 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 594/173, 642/365, 867/470

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 594/173, 642/365, 867/470?

Answer: LCM of Numerators as per given numbers 594/173, 642/365, 867/470 is

LCM of Numerators i.e. for 594,642,867 is 18368262

GCF of denominators i.e. for 173,365,470 is 1.

Thus, LCM of Fractions is 18368262.Finally, LCM of Fractions for 594/173, 642/365, 867/470 is 18368262.