Least Common Multiple of 12/822, 2285/8518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/822, 2285/8518 quickly i.e. 13710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/822, 2285/8518 is 13710.

LCM(12/822, 2285/8518) = 13710

LCM of 12/822, 2285/8518

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 12/822,2285/8518

Given numbers are 12/822,2285/8518

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 12,2285

Least Common Multiple of Numerators i.e. LCM of 12,2285 is 27420.

GCF of Denominators means GCF of 822,8518 as per the given fractions.

GCF of 822,8518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,2285

LCM of Fractions 12/822,2285/8518 is 13710

Given numbers has no common factors except 1. So, there LCM is their product i.e 27420

Least Common Multiple of 12,2285 with GCF Formula

Least Common Multiple of 12,2285 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 12,2285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2285) = 1

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

GCF(12,2285) x common factors =1 x 1 = 1

LCM(12,2285) = ( 12 × 2285 ) / 1

LCM(12,2285) = 27420 / 1

LCM(12,2285) = 27420


Lets's calculate GCF of 822,8518

2 822, 8518
411, 4259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27420/2

Therefore the LCM of Fractions 12/822,2285/8518 is 13710

Greatest Common Factor of 822,8518 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,8518 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1,2,4259,8518

Greatest Common Factor

We found the factors 822,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 822,8518 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 12/822, 2285/8518

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 12/822, 2285/8518?

Answer: LCM of Numerators as per given numbers 12/822, 2285/8518 is

LCM of Numerators i.e. for 12,2285 is 27420

GCF of denominators i.e. for 822,8518 is 2.

Thus, LCM of Fractions is 13710.Finally, LCM of Fractions for 12/822, 2285/8518 is 13710.