Least Common Multiple of 8199/286, 5271/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8199/286, 5271/298 quickly i.e. 14405643/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8199/286, 5271/298 is 14405643/2.

LCM(8199/286, 5271/298) = 14405643/2

LCM of 8199/286, 5271/298

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 8199/286,5271/298

Given numbers are 8199/286,5271/298

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 8199,5271

Least Common Multiple of Numerators i.e. LCM of 8199,5271 is 14405643.

GCF of Denominators means GCF of 286,298 as per the given fractions.

GCF of 286,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8199,5271

LCM of Fractions 8199/286,5271/298 is 14405643/2

3 8199, 5271
2733, 1757

∴ So the LCM of the given numbers is 3 x 2733 x 1757 = 14405643

Least Common Multiple of 8199,5271 with GCF Formula

Least Common Multiple of 8199,5271 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 8199,5271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8199,5271) = 3

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

GCF(8199,5271) x common factors =3 x 1 = 3

LCM(8199,5271) = ( 8199 × 5271 ) / 3

LCM(8199,5271) = 43216929 / 3

LCM(8199,5271) = 14405643


Lets's calculate GCF of 286,298

2 286, 298
143, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14405643/2

Therefore the LCM of Fractions 8199/286,5271/298 is 14405643/2

Greatest Common Factor of 286,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,298 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 286,298 . The biggest common factor number is the GCF number.
So the greatest common factor 286,298 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 8199/286, 5271/298

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 8199/286, 5271/298?

Answer: LCM of Numerators as per given numbers 8199/286, 5271/298 is

LCM of Numerators i.e. for 8199,5271 is 14405643

GCF of denominators i.e. for 286,298 is 2.

Thus, LCM of Fractions is 14405643/2.Finally, LCM of Fractions for 8199/286, 5271/298 is 14405643/2.