Least Common Multiple of 93/564, 213/588, 612/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/564, 213/588, 612/594 quickly i.e. 224502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/564, 213/588, 612/594 is 224502.

LCM(93/564, 213/588, 612/594) = 224502

LCM of 93/564, 213/588, 612/594

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 93/564,213/588,612/594

Given numbers are 93/564,213/588,612/594

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 93,213,612

Least Common Multiple of Numerators i.e. LCM of 93,213,612 is 1347012.

GCF of Denominators means GCF of 564,588,594 as per the given fractions.

GCF of 564,588,594 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,213,612

LCM of Fractions 93/564,213/588,612/594 is 224502

3 93, 213, 612
31, 71, 204

∴ So the LCM of the given numbers is 3 x 31 x 71 x 204 = 1347012

Least Common Multiple of 93,213,612 with GCF Formula

Least Common Multiple of 93,213,612 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 93,213,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,213,612) = 3

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

GCF(93,213,612) x common factors =3 x 3 = 9

LCM(93,213,612) = ( 93 × 213 × 612 ) / 9

LCM(93,213,612) = 12123108 / 9

LCM(93,213,612) = 1347012


Lets's calculate GCF of 564,588,594

2 564, 588, 594
3 282, 294, 297
94, 98, 99

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1347012/6

Therefore the LCM of Fractions 93/564,213/588,612/594 is 224502

Greatest Common Factor of 564,588,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,588,594 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 564,588,594 . The biggest common factor number is the GCF number.
So the greatest common factor 564,588,594 is 6.


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 93/564, 213/588, 612/594

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 93/564, 213/588, 612/594?

Answer: LCM of Numerators as per given numbers 93/564, 213/588, 612/594 is

LCM of Numerators i.e. for 93,213,612 is 1347012

GCF of denominators i.e. for 564,588,594 is 6.

Thus, LCM of Fractions is 224502.Finally, LCM of Fractions for 93/564, 213/588, 612/594 is 224502.