Least Common Multiple of 7982/208, 3067/3238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7982/208, 3067/3238 quickly i.e. 12240397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7982/208, 3067/3238 is 12240397.

LCM(7982/208, 3067/3238) = 12240397

LCM of 7982/208, 3067/3238

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 7982/208,3067/3238

Given numbers are 7982/208,3067/3238

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 7982,3067

Least Common Multiple of Numerators i.e. LCM of 7982,3067 is 24480794.

GCF of Denominators means GCF of 208,3238 as per the given fractions.

GCF of 208,3238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7982,3067

LCM of Fractions 7982/208,3067/3238 is 12240397

Given numbers has no common factors except 1. So, there LCM is their product i.e 24480794

Least Common Multiple of 7982,3067 with GCF Formula

Least Common Multiple of 7982,3067 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 7982,3067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7982,3067) = 1

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

GCF(7982,3067) x common factors =1 x 1 = 1

LCM(7982,3067) = ( 7982 × 3067 ) / 1

LCM(7982,3067) = 24480794 / 1

LCM(7982,3067) = 24480794


Lets's calculate GCF of 208,3238

2 208, 3238
104, 1619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480794/2

Therefore the LCM of Fractions 7982/208,3067/3238 is 12240397

Greatest Common Factor of 208,3238 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,3238 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 3238

List of positive integer factors of 3238 that divides 3238 without a remainder.

1,2,1619,3238

Greatest Common Factor

We found the factors 208,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 208,3238 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 7982/208, 3067/3238

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 7982/208, 3067/3238?

Answer: LCM of Numerators as per given numbers 7982/208, 3067/3238 is

LCM of Numerators i.e. for 7982,3067 is 24480794

GCF of denominators i.e. for 208,3238 is 2.

Thus, LCM of Fractions is 12240397.Finally, LCM of Fractions for 7982/208, 3067/3238 is 12240397.