Least Common Multiple of 873/286, 9284/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/286, 9284/363 quickly i.e. 736812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/286, 9284/363 is 736812.

LCM(873/286, 9284/363) = 736812

LCM of 873/286, 9284/363

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 873/286,9284/363

Given numbers are 873/286,9284/363

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 873,9284

Least Common Multiple of Numerators i.e. LCM of 873,9284 is 8104932.

GCF of Denominators means GCF of 286,363 as per the given fractions.

GCF of 286,363 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,9284

LCM of Fractions 873/286,9284/363 is 736812

Given numbers has no common factors except 1. So, there LCM is their product i.e 8104932

Least Common Multiple of 873,9284 with GCF Formula

Least Common Multiple of 873,9284 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 873,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,9284) = 1

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

GCF(873,9284) x common factors =1 x 1 = 1

LCM(873,9284) = ( 873 × 9284 ) / 1

LCM(873,9284) = 8104932 / 1

LCM(873,9284) = 8104932


Lets's calculate GCF of 286,363

11 286, 363
26, 33

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8104932/11

Therefore the LCM of Fractions 873/286,9284/363 is 736812

Greatest Common Factor of 286,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,363 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 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 286,363 . The biggest common factor number is the GCF number.
So the greatest common factor 286,363 is 11.


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 873/286, 9284/363

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 873/286, 9284/363?

Answer: LCM of Numerators as per given numbers 873/286, 9284/363 is

LCM of Numerators i.e. for 873,9284 is 8104932

GCF of denominators i.e. for 286,363 is 11.

Thus, LCM of Fractions is 736812.Finally, LCM of Fractions for 873/286, 9284/363 is 736812.