Least Common Multiple of 8209/473, 5729/7845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8209/473, 5729/7845 quickly i.e. 47029361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8209/473, 5729/7845 is 47029361.

LCM(8209/473, 5729/7845) = 47029361

LCM of 8209/473, 5729/7845

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 8209/473,5729/7845

Given numbers are 8209/473,5729/7845

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 8209,5729

Least Common Multiple of Numerators i.e. LCM of 8209,5729 is 47029361.

GCF of Denominators means GCF of 473,7845 as per the given fractions.

GCF of 473,7845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8209,5729

LCM of Fractions 8209/473,5729/7845 is 47029361

Given numbers has no common factors except 1. So, there LCM is their product i.e 47029361

Least Common Multiple of 8209,5729 with GCF Formula

Least Common Multiple of 8209,5729 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 8209,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8209,5729) = 1

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

GCF(8209,5729) x common factors =1 x 1 = 1

LCM(8209,5729) = ( 8209 × 5729 ) / 1

LCM(8209,5729) = 47029361 / 1

LCM(8209,5729) = 47029361


Lets's calculate GCF of 473,7845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47029361/1

Therefore the LCM of Fractions 8209/473,5729/7845 is 47029361

Greatest Common Factor of 473,7845 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,7845 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 7845

List of positive integer factors of 7845 that divides 7845 without a remainder.

1,3,5,15,523,1569,2615,7845

Greatest Common Factor

We found the factors 473,7845 . The biggest common factor number is the GCF number.
So the greatest common factor 473,7845 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 8209/473, 5729/7845

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 8209/473, 5729/7845?

Answer: LCM of Numerators as per given numbers 8209/473, 5729/7845 is

LCM of Numerators i.e. for 8209,5729 is 47029361

GCF of denominators i.e. for 473,7845 is 1.

Thus, LCM of Fractions is 47029361.Finally, LCM of Fractions for 8209/473, 5729/7845 is 47029361.