Least Common Multiple of 585/569, 8231/9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/569, 8231/9444 quickly i.e. 4815135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/569, 8231/9444 is 4815135.

LCM(585/569, 8231/9444) = 4815135

LCM of 585/569, 8231/9444

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 585/569,8231/9444

Given numbers are 585/569,8231/9444

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 585,8231

Least Common Multiple of Numerators i.e. LCM of 585,8231 is 4815135.

GCF of Denominators means GCF of 569,9444 as per the given fractions.

GCF of 569,9444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,8231

LCM of Fractions 585/569,8231/9444 is 4815135

Given numbers has no common factors except 1. So, there LCM is their product i.e 4815135

Least Common Multiple of 585,8231 with GCF Formula

Least Common Multiple of 585,8231 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 585,8231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,8231) = 1

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

GCF(585,8231) x common factors =1 x 1 = 1

LCM(585,8231) = ( 585 × 8231 ) / 1

LCM(585,8231) = 4815135 / 1

LCM(585,8231) = 4815135


Lets's calculate GCF of 569,9444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4815135/1

Therefore the LCM of Fractions 585/569,8231/9444 is 4815135

Greatest Common Factor of 569,9444 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,9444 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Greatest Common Factor

We found the factors 569,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 569,9444 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 585/569, 8231/9444

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 585/569, 8231/9444?

Answer: LCM of Numerators as per given numbers 585/569, 8231/9444 is

LCM of Numerators i.e. for 585,8231 is 4815135

GCF of denominators i.e. for 569,9444 is 1.

Thus, LCM of Fractions is 4815135.Finally, LCM of Fractions for 585/569, 8231/9444 is 4815135.