Least Common Multiple of 589/17, 489/27, 816/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/17, 489/27, 816/453 quickly i.e. 78341712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/17, 489/27, 816/453 is 78341712.

LCM(589/17, 489/27, 816/453) = 78341712

LCM of 589/17, 489/27, 816/453

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 589/17,489/27,816/453

Given numbers are 589/17,489/27,816/453

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 589,489,816

Least Common Multiple of Numerators i.e. LCM of 589,489,816 is 78341712.

GCF of Denominators means GCF of 17,27,453 as per the given fractions.

GCF of 17,27,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,489,816

LCM of Fractions 589/17,489/27,816/453 is 78341712

3 589, 489, 816
589, 163, 272

∴ So the LCM of the given numbers is 3 x 589 x 163 x 272 = 78341712

Least Common Multiple of 589,489,816 with GCF Formula

Least Common Multiple of 589,489,816 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 589,489,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,489,816) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(589,489,816) x common factors =1 x 3 = 3

LCM(589,489,816) = ( 589 × 489 × 816 ) / 3

LCM(589,489,816) = 235025136 / 3

LCM(589,489,816) = 78341712


Lets's calculate GCF of 17,27,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78341712/1

Therefore the LCM of Fractions 589/17,489/27,816/453 is 78341712

Greatest Common Factor of 17,27,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,27,453 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 17,27,453 . The biggest common factor number is the GCF number.
So the greatest common factor 17,27,453 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 589/17, 489/27, 816/453

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 589/17, 489/27, 816/453?

Answer: LCM of Numerators as per given numbers 589/17, 489/27, 816/453 is

LCM of Numerators i.e. for 589,489,816 is 78341712

GCF of denominators i.e. for 17,27,453 is 1.

Thus, LCM of Fractions is 78341712.Finally, LCM of Fractions for 589/17, 489/27, 816/453 is 78341712.