Least Common Multiple of 565/45, 423/24, 860/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/45, 423/24, 860/576 quickly i.e. 13702380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/45, 423/24, 860/576 is 13702380.

LCM(565/45, 423/24, 860/576) = 13702380

LCM of 565/45, 423/24, 860/576

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 565/45,423/24,860/576

Given numbers are 565/45,423/24,860/576

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 565,423,860

Least Common Multiple of Numerators i.e. LCM of 565,423,860 is 41107140.

GCF of Denominators means GCF of 45,24,576 as per the given fractions.

GCF of 45,24,576 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,423,860

LCM of Fractions 565/45,423/24,860/576 is 13702380

5 565, 423, 860
113, 423, 172

∴ So the LCM of the given numbers is 5 x 113 x 423 x 172 = 41107140

Least Common Multiple of 565,423,860 with GCF Formula

Least Common Multiple of 565,423,860 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 565,423,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,423,860) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(565,423,860) x common factors =1 x 5 = 5

LCM(565,423,860) = ( 565 × 423 × 860 ) / 5

LCM(565,423,860) = 205535700 / 5

LCM(565,423,860) = 41107140


Lets's calculate GCF of 45,24,576

3 45, 24, 576
15, 8, 192

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41107140/3

Therefore the LCM of Fractions 565/45,423/24,860/576 is 13702380

Greatest Common Factor of 45,24,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,24,576 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 45,24,576 . The biggest common factor number is the GCF number.
So the greatest common factor 45,24,576 is 3.


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 565/45, 423/24, 860/576

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 565/45, 423/24, 860/576?

Answer: LCM of Numerators as per given numbers 565/45, 423/24, 860/576 is

LCM of Numerators i.e. for 565,423,860 is 41107140

GCF of denominators i.e. for 45,24,576 is 3.

Thus, LCM of Fractions is 13702380.Finally, LCM of Fractions for 565/45, 423/24, 860/576 is 13702380.