Least Common Multiple of 8007/326, 8005/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8007/326, 8005/408 quickly i.e. 64096035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8007/326, 8005/408 is 64096035/2.

LCM(8007/326, 8005/408) = 64096035/2

LCM of 8007/326, 8005/408

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 8007/326,8005/408

Given numbers are 8007/326,8005/408

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 8007,8005

Least Common Multiple of Numerators i.e. LCM of 8007,8005 is 64096035.

GCF of Denominators means GCF of 326,408 as per the given fractions.

GCF of 326,408 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8007,8005

LCM of Fractions 8007/326,8005/408 is 64096035/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 64096035

Least Common Multiple of 8007,8005 with GCF Formula

Least Common Multiple of 8007,8005 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 8007,8005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8007,8005) = 1

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

GCF(8007,8005) x common factors =1 x 1 = 1

LCM(8007,8005) = ( 8007 × 8005 ) / 1

LCM(8007,8005) = 64096035 / 1

LCM(8007,8005) = 64096035


Lets's calculate GCF of 326,408

2 326, 408
163, 204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64096035/2

Therefore the LCM of Fractions 8007/326,8005/408 is 64096035/2

Greatest Common Factor of 326,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,408 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 326,408 . The biggest common factor number is the GCF number.
So the greatest common factor 326,408 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 8007/326, 8005/408

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 8007/326, 8005/408?

Answer: LCM of Numerators as per given numbers 8007/326, 8005/408 is

LCM of Numerators i.e. for 8007,8005 is 64096035

GCF of denominators i.e. for 326,408 is 2.

Thus, LCM of Fractions is 64096035/2.Finally, LCM of Fractions for 8007/326, 8005/408 is 64096035/2.