Least Common Multiple of 8209/940, 5805/3559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8209/940, 5805/3559 quickly i.e. 47653245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8209/940, 5805/3559 is 47653245.

LCM(8209/940, 5805/3559) = 47653245

LCM of 8209/940, 5805/3559

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 8209/940,5805/3559

Given numbers are 8209/940,5805/3559

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 8209,5805

Least Common Multiple of Numerators i.e. LCM of 8209,5805 is 47653245.

GCF of Denominators means GCF of 940,3559 as per the given fractions.

GCF of 940,3559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8209,5805

LCM of Fractions 8209/940,5805/3559 is 47653245

Given numbers has no common factors except 1. So, there LCM is their product i.e 47653245

Least Common Multiple of 8209,5805 with GCF Formula

Least Common Multiple of 8209,5805 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 8209,5805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8209,5805) = 1

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

GCF(8209,5805) x common factors =1 x 1 = 1

LCM(8209,5805) = ( 8209 × 5805 ) / 1

LCM(8209,5805) = 47653245 / 1

LCM(8209,5805) = 47653245


Lets's calculate GCF of 940,3559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47653245/1

Therefore the LCM of Fractions 8209/940,5805/3559 is 47653245

Greatest Common Factor of 940,3559 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,3559 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 3559

List of positive integer factors of 3559 that divides 3559 without a remainder.

1,3559

Greatest Common Factor

We found the factors 940,3559 . The biggest common factor number is the GCF number.
So the greatest common factor 940,3559 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 8209/940, 5805/3559

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 8209/940, 5805/3559?

Answer: LCM of Numerators as per given numbers 8209/940, 5805/3559 is

LCM of Numerators i.e. for 8209,5805 is 47653245

GCF of denominators i.e. for 940,3559 is 1.

Thus, LCM of Fractions is 47653245.Finally, LCM of Fractions for 8209/940, 5805/3559 is 47653245.