Least Common Multiple of 286/81, 309/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/81, 309/996 quickly i.e. 29458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/81, 309/996 is 29458.

LCM(286/81, 309/996) = 29458

LCM of 286/81, 309/996

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 286/81,309/996

Given numbers are 286/81,309/996

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 286,309

Least Common Multiple of Numerators i.e. LCM of 286,309 is 88374.

GCF of Denominators means GCF of 81,996 as per the given fractions.

GCF of 81,996 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,309

LCM of Fractions 286/81,309/996 is 29458

Given numbers has no common factors except 1. So, there LCM is their product i.e 88374

Least Common Multiple of 286,309 with GCF Formula

Least Common Multiple of 286,309 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 286,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,309) = 1

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

GCF(286,309) x common factors =1 x 1 = 1

LCM(286,309) = ( 286 × 309 ) / 1

LCM(286,309) = 88374 / 1

LCM(286,309) = 88374


Lets's calculate GCF of 81,996

3 81, 996
27, 332

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88374/3

Therefore the LCM of Fractions 286/81,309/996 is 29458

Greatest Common Factor of 81,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,996 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 81,996 . The biggest common factor number is the GCF number.
So the greatest common factor 81,996 is 3.


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 286/81, 309/996

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 286/81, 309/996?

Answer: LCM of Numerators as per given numbers 286/81, 309/996 is

LCM of Numerators i.e. for 286,309 is 88374

GCF of denominators i.e. for 81,996 is 3.

Thus, LCM of Fractions is 29458.Finally, LCM of Fractions for 286/81, 309/996 is 29458.