Least Common Multiple of 6339/994, 8999/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6339/994, 8999/286 quickly i.e. 57044661/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6339/994, 8999/286 is 57044661/2.

LCM(6339/994, 8999/286) = 57044661/2

LCM of 6339/994, 8999/286

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 6339/994,8999/286

Given numbers are 6339/994,8999/286

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 6339,8999

Least Common Multiple of Numerators i.e. LCM of 6339,8999 is 57044661.

GCF of Denominators means GCF of 994,286 as per the given fractions.

GCF of 994,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6339,8999

LCM of Fractions 6339/994,8999/286 is 57044661/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 57044661

Least Common Multiple of 6339,8999 with GCF Formula

Least Common Multiple of 6339,8999 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 6339,8999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6339,8999) = 1

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

GCF(6339,8999) x common factors =1 x 1 = 1

LCM(6339,8999) = ( 6339 × 8999 ) / 1

LCM(6339,8999) = 57044661 / 1

LCM(6339,8999) = 57044661


Lets's calculate GCF of 994,286

2 994, 286
497, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57044661/2

Therefore the LCM of Fractions 6339/994,8999/286 is 57044661/2

Greatest Common Factor of 994,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,286 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 286

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

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

Greatest Common Factor

We found the factors 994,286 . The biggest common factor number is the GCF number.
So the greatest common factor 994,286 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6339/994, 8999/286

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 6339/994, 8999/286?

Answer: LCM of Numerators as per given numbers 6339/994, 8999/286 is

LCM of Numerators i.e. for 6339,8999 is 57044661

GCF of denominators i.e. for 994,286 is 2.

Thus, LCM of Fractions is 57044661/2.Finally, LCM of Fractions for 6339/994, 8999/286 is 57044661/2.