Least Common Multiple of 71/588, 886/23, 662/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/588, 886/23, 662/686 quickly i.e. 20821886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/588, 886/23, 662/686 is 20821886.

LCM(71/588, 886/23, 662/686) = 20821886

LCM of 71/588, 886/23, 662/686

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 71/588,886/23,662/686

Given numbers are 71/588,886/23,662/686

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 71,886,662

Least Common Multiple of Numerators i.e. LCM of 71,886,662 is 20821886.

GCF of Denominators means GCF of 588,23,686 as per the given fractions.

GCF of 588,23,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,886,662

LCM of Fractions 71/588,886/23,662/686 is 20821886

2 71, 886, 662
71, 443, 331

∴ So the LCM of the given numbers is 2 x 71 x 443 x 331 = 20821886

Least Common Multiple of 71,886,662 with GCF Formula

Least Common Multiple of 71,886,662 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 71,886,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,886,662) = 1

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

GCF(71,886,662) x common factors =1 x 2 = 2

LCM(71,886,662) = ( 71 × 886 × 662 ) / 2

LCM(71,886,662) = 41643772 / 2

LCM(71,886,662) = 20821886


Lets's calculate GCF of 588,23,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20821886/1

Therefore the LCM of Fractions 71/588,886/23,662/686 is 20821886

Greatest Common Factor of 588,23,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,23,686 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 588,23,686 . The biggest common factor number is the GCF number.
So the greatest common factor 588,23,686 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 71/588, 886/23, 662/686

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 71/588, 886/23, 662/686?

Answer: LCM of Numerators as per given numbers 71/588, 886/23, 662/686 is

LCM of Numerators i.e. for 71,886,662 is 20821886

GCF of denominators i.e. for 588,23,686 is 1.

Thus, LCM of Fractions is 20821886.Finally, LCM of Fractions for 71/588, 886/23, 662/686 is 20821886.