Least Common Multiple of 589/64, 216/6666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/64, 216/6666 quickly i.e. 63612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/64, 216/6666 is 63612.

LCM(589/64, 216/6666) = 63612

LCM of 589/64, 216/6666

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 589/64,216/6666

Given numbers are 589/64,216/6666

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 589,216

Least Common Multiple of Numerators i.e. LCM of 589,216 is 127224.

GCF of Denominators means GCF of 64,6666 as per the given fractions.

GCF of 64,6666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,216

LCM of Fractions 589/64,216/6666 is 63612

Given numbers has no common factors except 1. So, there LCM is their product i.e 127224

Least Common Multiple of 589,216 with GCF Formula

Least Common Multiple of 589,216 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 589,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,216) = 1

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

GCF(589,216) x common factors =1 x 1 = 1

LCM(589,216) = ( 589 × 216 ) / 1

LCM(589,216) = 127224 / 1

LCM(589,216) = 127224


Lets's calculate GCF of 64,6666

2 64, 6666
32, 3333

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127224/2

Therefore the LCM of Fractions 589/64,216/6666 is 63612

Greatest Common Factor of 64,6666 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6666 By Matching Biggest Common Factor Method

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 6666

List of positive integer factors of 6666 that divides 6666 without a remainder.

1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666

Greatest Common Factor

We found the factors 64,6666 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6666 is 2.


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 589/64, 216/6666

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 589/64, 216/6666?

Answer: LCM of Numerators as per given numbers 589/64, 216/6666 is

LCM of Numerators i.e. for 589,216 is 127224

GCF of denominators i.e. for 64,6666 is 2.

Thus, LCM of Fractions is 63612.Finally, LCM of Fractions for 589/64, 216/6666 is 63612.