Least Common Multiple of 8209/367, 7079/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8209/367, 7079/440 quickly i.e. 58111511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8209/367, 7079/440 is 58111511.

LCM(8209/367, 7079/440) = 58111511

LCM of 8209/367, 7079/440

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 8209/367,7079/440

Given numbers are 8209/367,7079/440

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 8209,7079

Least Common Multiple of Numerators i.e. LCM of 8209,7079 is 58111511.

GCF of Denominators means GCF of 367,440 as per the given fractions.

GCF of 367,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8209,7079

LCM of Fractions 8209/367,7079/440 is 58111511

Given numbers has no common factors except 1. So, there LCM is their product i.e 58111511

Least Common Multiple of 8209,7079 with GCF Formula

Least Common Multiple of 8209,7079 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 8209,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8209,7079) = 1

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

GCF(8209,7079) x common factors =1 x 1 = 1

LCM(8209,7079) = ( 8209 × 7079 ) / 1

LCM(8209,7079) = 58111511 / 1

LCM(8209,7079) = 58111511


Lets's calculate GCF of 367,440

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58111511/1

Therefore the LCM of Fractions 8209/367,7079/440 is 58111511

Greatest Common Factor of 367,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,440 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 367,440 . The biggest common factor number is the GCF number.
So the greatest common factor 367,440 is 1.


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 8209/367, 7079/440

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 8209/367, 7079/440?

Answer: LCM of Numerators as per given numbers 8209/367, 7079/440 is

LCM of Numerators i.e. for 8209,7079 is 58111511

GCF of denominators i.e. for 367,440 is 1.

Thus, LCM of Fractions is 58111511.Finally, LCM of Fractions for 8209/367, 7079/440 is 58111511.