Least Common Multiple of 8006/398, 3083/2698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8006/398, 3083/2698 quickly i.e. 12341249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8006/398, 3083/2698 is 12341249.

LCM(8006/398, 3083/2698) = 12341249

LCM of 8006/398, 3083/2698

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 8006/398,3083/2698

Given numbers are 8006/398,3083/2698

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 8006,3083

Least Common Multiple of Numerators i.e. LCM of 8006,3083 is 24682498.

GCF of Denominators means GCF of 398,2698 as per the given fractions.

GCF of 398,2698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8006,3083

LCM of Fractions 8006/398,3083/2698 is 12341249

Given numbers has no common factors except 1. So, there LCM is their product i.e 24682498

Least Common Multiple of 8006,3083 with GCF Formula

Least Common Multiple of 8006,3083 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 8006,3083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8006,3083) = 1

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

GCF(8006,3083) x common factors =1 x 1 = 1

LCM(8006,3083) = ( 8006 × 3083 ) / 1

LCM(8006,3083) = 24682498 / 1

LCM(8006,3083) = 24682498


Lets's calculate GCF of 398,2698

2 398, 2698
199, 1349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24682498/2

Therefore the LCM of Fractions 8006/398,3083/2698 is 12341249

Greatest Common Factor of 398,2698 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,2698 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Greatest Common Factor

We found the factors 398,2698 . The biggest common factor number is the GCF number.
So the greatest common factor 398,2698 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 8006/398, 3083/2698

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 8006/398, 3083/2698?

Answer: LCM of Numerators as per given numbers 8006/398, 3083/2698 is

LCM of Numerators i.e. for 8006,3083 is 24682498

GCF of denominators i.e. for 398,2698 is 2.

Thus, LCM of Fractions is 12341249.Finally, LCM of Fractions for 8006/398, 3083/2698 is 12341249.