Least Common Multiple of 7368/828, 6659/9966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7368/828, 6659/9966 quickly i.e. 8177252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7368/828, 6659/9966 is 8177252.

LCM(7368/828, 6659/9966) = 8177252

LCM of 7368/828, 6659/9966

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 7368/828,6659/9966

Given numbers are 7368/828,6659/9966

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 7368,6659

Least Common Multiple of Numerators i.e. LCM of 7368,6659 is 49063512.

GCF of Denominators means GCF of 828,9966 as per the given fractions.

GCF of 828,9966 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7368,6659

LCM of Fractions 7368/828,6659/9966 is 8177252

Given numbers has no common factors except 1. So, there LCM is their product i.e 49063512

Least Common Multiple of 7368,6659 with GCF Formula

Least Common Multiple of 7368,6659 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 7368,6659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7368,6659) = 1

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

GCF(7368,6659) x common factors =1 x 1 = 1

LCM(7368,6659) = ( 7368 × 6659 ) / 1

LCM(7368,6659) = 49063512 / 1

LCM(7368,6659) = 49063512


Lets's calculate GCF of 828,9966

2 828, 9966
3 414, 4983
138, 1661

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49063512/6

Therefore the LCM of Fractions 7368/828,6659/9966 is 8177252

Greatest Common Factor of 828,9966 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,9966 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 9966

List of positive integer factors of 9966 that divides 9966 without a remainder.

1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966

Greatest Common Factor

We found the factors 828,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 828,9966 is 6.


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 7368/828, 6659/9966

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 7368/828, 6659/9966?

Answer: LCM of Numerators as per given numbers 7368/828, 6659/9966 is

LCM of Numerators i.e. for 7368,6659 is 49063512

GCF of denominators i.e. for 828,9966 is 6.

Thus, LCM of Fractions is 8177252.Finally, LCM of Fractions for 7368/828, 6659/9966 is 8177252.