Least Common Multiple of 585/20, 525/25, 275/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/20, 525/25, 275/81 quickly i.e. 225225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/20, 525/25, 275/81 is 225225.

LCM(585/20, 525/25, 275/81) = 225225

LCM of 585/20, 525/25, 275/81

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 585/20,525/25,275/81

Given numbers are 585/20,525/25,275/81

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 585,525,275

Least Common Multiple of Numerators i.e. LCM of 585,525,275 is 225225.

GCF of Denominators means GCF of 20,25,81 as per the given fractions.

GCF of 20,25,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,525,275

LCM of Fractions 585/20,525/25,275/81 is 225225

3 585, 525, 275
5 195, 175, 275
5 39, 35, 55
39, 7, 11

∴ So the LCM of the given numbers is 3 x 5 x 5 x 39 x 7 x 11 = 225225

Least Common Multiple of 585,525,275 with GCF Formula

Least Common Multiple of 585,525,275 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 585,525,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,525,275) = 5

common factors(in case of two or more numbers have common factors) = 75

GCF(585,525,275) x common factors =5 x 75 = 375

LCM(585,525,275) = ( 585 × 525 × 275 ) / 375

LCM(585,525,275) = 84459375 / 375

LCM(585,525,275) = 225225


Lets's calculate GCF of 20,25,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225225/1

Therefore the LCM of Fractions 585/20,525/25,275/81 is 225225

Greatest Common Factor of 20,25,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,25,81 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 20,25,81 . The biggest common factor number is the GCF number.
So the greatest common factor 20,25,81 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 585/20, 525/25, 275/81

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 585/20, 525/25, 275/81?

Answer: LCM of Numerators as per given numbers 585/20, 525/25, 275/81 is

LCM of Numerators i.e. for 585,525,275 is 225225

GCF of denominators i.e. for 20,25,81 is 1.

Thus, LCM of Fractions is 225225.Finally, LCM of Fractions for 585/20, 525/25, 275/81 is 225225.