Least Common Multiple of 3205/822, 8268/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3205/822, 8268/225 quickly i.e. 8832980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3205/822, 8268/225 is 8832980.

LCM(3205/822, 8268/225) = 8832980

LCM of 3205/822, 8268/225

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 3205/822,8268/225

Given numbers are 3205/822,8268/225

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 3205,8268

Least Common Multiple of Numerators i.e. LCM of 3205,8268 is 26498940.

GCF of Denominators means GCF of 822,225 as per the given fractions.

GCF of 822,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3205,8268

LCM of Fractions 3205/822,8268/225 is 8832980

Given numbers has no common factors except 1. So, there LCM is their product i.e 26498940

Least Common Multiple of 3205,8268 with GCF Formula

Least Common Multiple of 3205,8268 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 3205,8268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3205,8268) = 1

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

GCF(3205,8268) x common factors =1 x 1 = 1

LCM(3205,8268) = ( 3205 × 8268 ) / 1

LCM(3205,8268) = 26498940 / 1

LCM(3205,8268) = 26498940


Lets's calculate GCF of 822,225

3 822, 225
274, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26498940/3

Therefore the LCM of Fractions 3205/822,8268/225 is 8832980

Greatest Common Factor of 822,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,225 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 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 822,225 . The biggest common factor number is the GCF number.
So the greatest common factor 822,225 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 3205/822, 8268/225

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 3205/822, 8268/225?

Answer: LCM of Numerators as per given numbers 3205/822, 8268/225 is

LCM of Numerators i.e. for 3205,8268 is 26498940

GCF of denominators i.e. for 822,225 is 3.

Thus, LCM of Fractions is 8832980.Finally, LCM of Fractions for 3205/822, 8268/225 is 8832980.