Least Common Multiple of 27/600, 592/816, 806/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/600, 592/816, 806/249 quickly i.e. 2147184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/600, 592/816, 806/249 is 2147184.

LCM(27/600, 592/816, 806/249) = 2147184

LCM of 27/600, 592/816, 806/249

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 27/600,592/816,806/249

Given numbers are 27/600,592/816,806/249

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 27,592,806

Least Common Multiple of Numerators i.e. LCM of 27,592,806 is 6441552.

GCF of Denominators means GCF of 600,816,249 as per the given fractions.

GCF of 600,816,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,592,806

LCM of Fractions 27/600,592/816,806/249 is 2147184

2 27, 592, 806
27, 296, 403

∴ So the LCM of the given numbers is 2 x 27 x 296 x 403 = 6441552

Least Common Multiple of 27,592,806 with GCF Formula

Least Common Multiple of 27,592,806 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 27,592,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,592,806) = 1

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

GCF(27,592,806) x common factors =1 x 2 = 2

LCM(27,592,806) = ( 27 × 592 × 806 ) / 2

LCM(27,592,806) = 12883104 / 2

LCM(27,592,806) = 6441552


Lets's calculate GCF of 600,816,249

3 600, 816, 249
200, 272, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6441552/3

Therefore the LCM of Fractions 27/600,592/816,806/249 is 2147184

Greatest Common Factor of 600,816,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,816,249 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 600,816,249 . The biggest common factor number is the GCF number.
So the greatest common factor 600,816,249 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 27/600, 592/816, 806/249

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 27/600, 592/816, 806/249?

Answer: LCM of Numerators as per given numbers 27/600, 592/816, 806/249 is

LCM of Numerators i.e. for 27,592,806 is 6441552

GCF of denominators i.e. for 600,816,249 is 3.

Thus, LCM of Fractions is 2147184.Finally, LCM of Fractions for 27/600, 592/816, 806/249 is 2147184.