Least Common Multiple of 481/384, 6209/8386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/384, 6209/8386 quickly i.e. 2986529/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/384, 6209/8386 is 2986529/2.

LCM(481/384, 6209/8386) = 2986529/2

LCM of 481/384, 6209/8386

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 481/384,6209/8386

Given numbers are 481/384,6209/8386

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 481,6209

Least Common Multiple of Numerators i.e. LCM of 481,6209 is 2986529.

GCF of Denominators means GCF of 384,8386 as per the given fractions.

GCF of 384,8386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,6209

LCM of Fractions 481/384,6209/8386 is 2986529/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2986529

Least Common Multiple of 481,6209 with GCF Formula

Least Common Multiple of 481,6209 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 481,6209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,6209) = 1

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

GCF(481,6209) x common factors =1 x 1 = 1

LCM(481,6209) = ( 481 × 6209 ) / 1

LCM(481,6209) = 2986529 / 1

LCM(481,6209) = 2986529


Lets's calculate GCF of 384,8386

2 384, 8386
192, 4193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2986529/2

Therefore the LCM of Fractions 481/384,6209/8386 is 2986529/2

Greatest Common Factor of 384,8386 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,8386 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Greatest Common Factor

We found the factors 384,8386 . The biggest common factor number is the GCF number.
So the greatest common factor 384,8386 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 481/384, 6209/8386

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 481/384, 6209/8386?

Answer: LCM of Numerators as per given numbers 481/384, 6209/8386 is

LCM of Numerators i.e. for 481,6209 is 2986529

GCF of denominators i.e. for 384,8386 is 2.

Thus, LCM of Fractions is 2986529/2.Finally, LCM of Fractions for 481/384, 6209/8386 is 2986529/2.