Least Common Multiple of 393/416, 8415/6886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 393/416, 8415/6886 quickly i.e. 1102365/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/416, 8415/6886 is 1102365/2.

LCM(393/416, 8415/6886) = 1102365/2

LCM of 393/416, 8415/6886

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 393/416,8415/6886

Given numbers are 393/416,8415/6886

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 393,8415

Least Common Multiple of Numerators i.e. LCM of 393,8415 is 1102365.

GCF of Denominators means GCF of 416,6886 as per the given fractions.

GCF of 416,6886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,8415

LCM of Fractions 393/416,8415/6886 is 1102365/2

3 393, 8415
131, 2805

∴ So the LCM of the given numbers is 3 x 131 x 2805 = 1102365

Least Common Multiple of 393,8415 with GCF Formula

Least Common Multiple of 393,8415 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 393,8415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,8415) = 3

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

GCF(393,8415) x common factors =3 x 1 = 3

LCM(393,8415) = ( 393 × 8415 ) / 3

LCM(393,8415) = 3307095 / 3

LCM(393,8415) = 1102365


Lets's calculate GCF of 416,6886

2 416, 6886
208, 3443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1102365/2

Therefore the LCM of Fractions 393/416,8415/6886 is 1102365/2

Greatest Common Factor of 416,6886 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,6886 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1,2,11,22,313,626,3443,6886

Greatest Common Factor

We found the factors 416,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 416,6886 is 2.


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 393/416, 8415/6886

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 393/416, 8415/6886?

Answer: LCM of Numerators as per given numbers 393/416, 8415/6886 is

LCM of Numerators i.e. for 393,8415 is 1102365

GCF of denominators i.e. for 416,6886 is 2.

Thus, LCM of Fractions is 1102365/2.Finally, LCM of Fractions for 393/416, 8415/6886 is 1102365/2.