Least Common Multiple of 488/15, 271/21, 866/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/15, 271/21, 866/594 quickly i.e. 57263384/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/15, 271/21, 866/594 is 57263384/3.

LCM(488/15, 271/21, 866/594) = 57263384/3

LCM of 488/15, 271/21, 866/594

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 488/15,271/21,866/594

Given numbers are 488/15,271/21,866/594

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 488,271,866

Least Common Multiple of Numerators i.e. LCM of 488,271,866 is 57263384.

GCF of Denominators means GCF of 15,21,594 as per the given fractions.

GCF of 15,21,594 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,271,866

LCM of Fractions 488/15,271/21,866/594 is 57263384/3

2 488, 271, 866
244, 271, 433

∴ So the LCM of the given numbers is 2 x 244 x 271 x 433 = 57263384

Least Common Multiple of 488,271,866 with GCF Formula

Least Common Multiple of 488,271,866 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 488,271,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,271,866) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(488,271,866) x common factors =1 x 2 = 2

LCM(488,271,866) = ( 488 × 271 × 866 ) / 2

LCM(488,271,866) = 114526768 / 2

LCM(488,271,866) = 57263384


Lets's calculate GCF of 15,21,594

3 15, 21, 594
5, 7, 198

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57263384/3

Therefore the LCM of Fractions 488/15,271/21,866/594 is 57263384/3

Greatest Common Factor of 15,21,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,21,594 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 15,21,594 . The biggest common factor number is the GCF number.
So the greatest common factor 15,21,594 is 3.


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 488/15, 271/21, 866/594

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 488/15, 271/21, 866/594?

Answer: LCM of Numerators as per given numbers 488/15, 271/21, 866/594 is

LCM of Numerators i.e. for 488,271,866 is 57263384

GCF of denominators i.e. for 15,21,594 is 3.

Thus, LCM of Fractions is 57263384/3.Finally, LCM of Fractions for 488/15, 271/21, 866/594 is 57263384/3.