Least Common Multiple of 17/81, 109/64, 330/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/81, 109/64, 330/568 quickly i.e. 611490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/81, 109/64, 330/568 is 611490.

LCM(17/81, 109/64, 330/568) = 611490

LCM of 17/81, 109/64, 330/568

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 17/81,109/64,330/568

Given numbers are 17/81,109/64,330/568

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 17,109,330

Least Common Multiple of Numerators i.e. LCM of 17,109,330 is 611490.

GCF of Denominators means GCF of 81,64,568 as per the given fractions.

GCF of 81,64,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,109,330

LCM of Fractions 17/81,109/64,330/568 is 611490

Given numbers has no common factors except 1. So, there LCM is their product i.e 611490

Least Common Multiple of 17,109,330 with GCF Formula

Least Common Multiple of 17,109,330 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 17,109,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,109,330) = 1

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

GCF(17,109,330) x common factors =1 x 1 = 1

LCM(17,109,330) = ( 17 × 109 × 330 ) / 1

LCM(17,109,330) = 611490 / 1

LCM(17,109,330) = 611490


Lets's calculate GCF of 81,64,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 611490/1

Therefore the LCM of Fractions 17/81,109/64,330/568 is 611490

Greatest Common Factor of 81,64,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,64,568 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 81,64,568 . The biggest common factor number is the GCF number.
So the greatest common factor 81,64,568 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 17/81, 109/64, 330/568

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 17/81, 109/64, 330/568?

Answer: LCM of Numerators as per given numbers 17/81, 109/64, 330/568 is

LCM of Numerators i.e. for 17,109,330 is 611490

GCF of denominators i.e. for 81,64,568 is 1.

Thus, LCM of Fractions is 611490.Finally, LCM of Fractions for 17/81, 109/64, 330/568 is 611490.