Least Common Multiple of 312/393, 366/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/393, 366/915 quickly i.e. 6344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/393, 366/915 is 6344.

LCM(312/393, 366/915) = 6344

LCM of 312/393, 366/915

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 312/393,366/915

Given numbers are 312/393,366/915

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 312,366

Least Common Multiple of Numerators i.e. LCM of 312,366 is 19032.

GCF of Denominators means GCF of 393,915 as per the given fractions.

GCF of 393,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,366

LCM of Fractions 312/393,366/915 is 6344

2 312, 366
3 156, 183
52, 61

∴ So the LCM of the given numbers is 2 x 3 x 52 x 61 = 19032

Least Common Multiple of 312,366 with GCF Formula

Least Common Multiple of 312,366 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 312,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,366) = 6

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

GCF(312,366) x common factors =6 x 1 = 6

LCM(312,366) = ( 312 × 366 ) / 6

LCM(312,366) = 114192 / 6

LCM(312,366) = 19032


Lets's calculate GCF of 393,915

3 393, 915
131, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19032/3

Therefore the LCM of Fractions 312/393,366/915 is 6344

Greatest Common Factor of 393,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,915 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 393,915 . The biggest common factor number is the GCF number.
So the greatest common factor 393,915 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 312/393, 366/915

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 312/393, 366/915?

Answer: LCM of Numerators as per given numbers 312/393, 366/915 is

LCM of Numerators i.e. for 312,366 is 19032

GCF of denominators i.e. for 393,915 is 3.

Thus, LCM of Fractions is 6344.Finally, LCM of Fractions for 312/393, 366/915 is 6344.