Least Common Multiple of 390/12, 8399/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/12, 8399/589 quickly i.e. 3275610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/12, 8399/589 is 3275610.

LCM(390/12, 8399/589) = 3275610

LCM of 390/12, 8399/589

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 390/12,8399/589

Given numbers are 390/12,8399/589

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 390,8399

Least Common Multiple of Numerators i.e. LCM of 390,8399 is 3275610.

GCF of Denominators means GCF of 12,589 as per the given fractions.

GCF of 12,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,8399

LCM of Fractions 390/12,8399/589 is 3275610

Given numbers has no common factors except 1. So, there LCM is their product i.e 3275610

Least Common Multiple of 390,8399 with GCF Formula

Least Common Multiple of 390,8399 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 390,8399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,8399) = 1

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

GCF(390,8399) x common factors =1 x 1 = 1

LCM(390,8399) = ( 390 × 8399 ) / 1

LCM(390,8399) = 3275610 / 1

LCM(390,8399) = 3275610


Lets's calculate GCF of 12,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3275610/1

Therefore the LCM of Fractions 390/12,8399/589 is 3275610

Greatest Common Factor of 12,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,589 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 12,589 . The biggest common factor number is the GCF number.
So the greatest common factor 12,589 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 390/12, 8399/589

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 390/12, 8399/589?

Answer: LCM of Numerators as per given numbers 390/12, 8399/589 is

LCM of Numerators i.e. for 390,8399 is 3275610

GCF of denominators i.e. for 12,589 is 1.

Thus, LCM of Fractions is 3275610.Finally, LCM of Fractions for 390/12, 8399/589 is 3275610.