Least Common Multiple of 599/258, 915/195, 842/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 599/258, 915/195, 842/399 quickly i.e. 153829190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 599/258, 915/195, 842/399 is 153829190.

LCM(599/258, 915/195, 842/399) = 153829190

LCM of 599/258, 915/195, 842/399

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 599/258,915/195,842/399

Given numbers are 599/258,915/195,842/399

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 599,915,842

Least Common Multiple of Numerators i.e. LCM of 599,915,842 is 461487570.

GCF of Denominators means GCF of 258,195,399 as per the given fractions.

GCF of 258,195,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 599,915,842

LCM of Fractions 599/258,915/195,842/399 is 153829190

Given numbers has no common factors except 1. So, there LCM is their product i.e 461487570

Least Common Multiple of 599,915,842 with GCF Formula

Least Common Multiple of 599,915,842 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 599,915,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,915,842) = 1

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

GCF(599,915,842) x common factors =1 x 1 = 1

LCM(599,915,842) = ( 599 × 915 × 842 ) / 1

LCM(599,915,842) = 461487570 / 1

LCM(599,915,842) = 461487570


Lets's calculate GCF of 258,195,399

3 258, 195, 399
86, 65, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461487570/3

Therefore the LCM of Fractions 599/258,915/195,842/399 is 153829190

Greatest Common Factor of 258,195,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,195,399 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 258,195,399 . The biggest common factor number is the GCF number.
So the greatest common factor 258,195,399 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 599/258, 915/195, 842/399

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 599/258, 915/195, 842/399?

Answer: LCM of Numerators as per given numbers 599/258, 915/195, 842/399 is

LCM of Numerators i.e. for 599,915,842 is 461487570

GCF of denominators i.e. for 258,195,399 is 3.

Thus, LCM of Fractions is 153829190.Finally, LCM of Fractions for 599/258, 915/195, 842/399 is 153829190.