Least Common Multiple of 665/80, 566/54, 595/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/80, 566/54, 595/589 quickly i.e. 6398630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/80, 566/54, 595/589 is 6398630.

LCM(665/80, 566/54, 595/589) = 6398630

LCM of 665/80, 566/54, 595/589

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 665/80,566/54,595/589

Given numbers are 665/80,566/54,595/589

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 665,566,595

Least Common Multiple of Numerators i.e. LCM of 665,566,595 is 6398630.

GCF of Denominators means GCF of 80,54,589 as per the given fractions.

GCF of 80,54,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,566,595

LCM of Fractions 665/80,566/54,595/589 is 6398630

5 665, 566, 595
7 133, 566, 119
19, 566, 17

∴ So the LCM of the given numbers is 5 x 7 x 19 x 566 x 17 = 6398630

Least Common Multiple of 665,566,595 with GCF Formula

Least Common Multiple of 665,566,595 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 665,566,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,566,595) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(665,566,595) x common factors =1 x 35 = 35

LCM(665,566,595) = ( 665 × 566 × 595 ) / 35

LCM(665,566,595) = 223952050 / 35

LCM(665,566,595) = 6398630


Lets's calculate GCF of 80,54,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6398630/1

Therefore the LCM of Fractions 665/80,566/54,595/589 is 6398630

Greatest Common Factor of 80,54,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,54,589 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 589

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

1,19,31,589

Greatest Common Factor

We found the factors 80,54,589 . The biggest common factor number is the GCF number.
So the greatest common factor 80,54,589 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 665/80, 566/54, 595/589

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 665/80, 566/54, 595/589?

Answer: LCM of Numerators as per given numbers 665/80, 566/54, 595/589 is

LCM of Numerators i.e. for 665,566,595 is 6398630

GCF of denominators i.e. for 80,54,589 is 1.

Thus, LCM of Fractions is 6398630.Finally, LCM of Fractions for 665/80, 566/54, 595/589 is 6398630.