Least Common Multiple of 3/566, 65/729, 17/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/566, 65/729, 17/863 quickly i.e. 3315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/566, 65/729, 17/863 is 3315.

LCM(3/566, 65/729, 17/863) = 3315

LCM of 3/566, 65/729, 17/863

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 3/566,65/729,17/863

Given numbers are 3/566,65/729,17/863

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 3,65,17

Least Common Multiple of Numerators i.e. LCM of 3,65,17 is 3315.

GCF of Denominators means GCF of 566,729,863 as per the given fractions.

GCF of 566,729,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,65,17

LCM of Fractions 3/566,65/729,17/863 is 3315

Given numbers has no common factors except 1. So, there LCM is their product i.e 3315

Least Common Multiple of 3,65,17 with GCF Formula

Least Common Multiple of 3,65,17 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 3,65,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,65,17) = 1

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

GCF(3,65,17) x common factors =1 x 1 = 1

LCM(3,65,17) = ( 3 × 65 × 17 ) / 1

LCM(3,65,17) = 3315 / 1

LCM(3,65,17) = 3315


Lets's calculate GCF of 566,729,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3315/1

Therefore the LCM of Fractions 3/566,65/729,17/863 is 3315

Greatest Common Factor of 566,729,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,729,863 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 566,729,863 . The biggest common factor number is the GCF number.
So the greatest common factor 566,729,863 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 3/566, 65/729, 17/863

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 3/566, 65/729, 17/863?

Answer: LCM of Numerators as per given numbers 3/566, 65/729, 17/863 is

LCM of Numerators i.e. for 3,65,17 is 3315

GCF of denominators i.e. for 566,729,863 is 1.

Thus, LCM of Fractions is 3315.Finally, LCM of Fractions for 3/566, 65/729, 17/863 is 3315.