Least Common Multiple of 71/80, 231/21, 588/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/80, 231/21, 588/525 quickly i.e. 459228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/80, 231/21, 588/525 is 459228.

LCM(71/80, 231/21, 588/525) = 459228

LCM of 71/80, 231/21, 588/525

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 71/80,231/21,588/525

Given numbers are 71/80,231/21,588/525

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 71,231,588

Least Common Multiple of Numerators i.e. LCM of 71,231,588 is 459228.

GCF of Denominators means GCF of 80,21,525 as per the given fractions.

GCF of 80,21,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,231,588

LCM of Fractions 71/80,231/21,588/525 is 459228

3 71, 231, 588
7 71, 77, 196
71, 11, 28

∴ So the LCM of the given numbers is 3 x 7 x 71 x 11 x 28 = 459228

Least Common Multiple of 71,231,588 with GCF Formula

Least Common Multiple of 71,231,588 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 71,231,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,231,588) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(71,231,588) x common factors =1 x 21 = 21

LCM(71,231,588) = ( 71 × 231 × 588 ) / 21

LCM(71,231,588) = 9643788 / 21

LCM(71,231,588) = 459228


Lets's calculate GCF of 80,21,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459228/1

Therefore the LCM of Fractions 71/80,231/21,588/525 is 459228

Greatest Common Factor of 80,21,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,21,525 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 21

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

1,3,7,21

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 80,21,525 . The biggest common factor number is the GCF number.
So the greatest common factor 80,21,525 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 71/80, 231/21, 588/525

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 71/80, 231/21, 588/525?

Answer: LCM of Numerators as per given numbers 71/80, 231/21, 588/525 is

LCM of Numerators i.e. for 71,231,588 is 459228

GCF of denominators i.e. for 80,21,525 is 1.

Thus, LCM of Fractions is 459228.Finally, LCM of Fractions for 71/80, 231/21, 588/525 is 459228.