Least Common Multiple of 5205/589, 6008/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5205/589, 6008/811 quickly i.e. 31271640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5205/589, 6008/811 is 31271640.

LCM(5205/589, 6008/811) = 31271640

LCM of 5205/589, 6008/811

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 5205/589,6008/811

Given numbers are 5205/589,6008/811

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 5205,6008

Least Common Multiple of Numerators i.e. LCM of 5205,6008 is 31271640.

GCF of Denominators means GCF of 589,811 as per the given fractions.

GCF of 589,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5205,6008

LCM of Fractions 5205/589,6008/811 is 31271640

Given numbers has no common factors except 1. So, there LCM is their product i.e 31271640

Least Common Multiple of 5205,6008 with GCF Formula

Least Common Multiple of 5205,6008 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 5205,6008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5205,6008) = 1

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

GCF(5205,6008) x common factors =1 x 1 = 1

LCM(5205,6008) = ( 5205 × 6008 ) / 1

LCM(5205,6008) = 31271640 / 1

LCM(5205,6008) = 31271640


Lets's calculate GCF of 589,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31271640/1

Therefore the LCM of Fractions 5205/589,6008/811 is 31271640

Greatest Common Factor of 589,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,811 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 589,811 . The biggest common factor number is the GCF number.
So the greatest common factor 589,811 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 5205/589, 6008/811

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 5205/589, 6008/811?

Answer: LCM of Numerators as per given numbers 5205/589, 6008/811 is

LCM of Numerators i.e. for 5205,6008 is 31271640

GCF of denominators i.e. for 589,811 is 1.

Thus, LCM of Fractions is 31271640.Finally, LCM of Fractions for 5205/589, 6008/811 is 31271640.