Least Common Multiple of 423/21, 588/6805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/21, 588/6805 quickly i.e. 82908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/21, 588/6805 is 82908.

LCM(423/21, 588/6805) = 82908

LCM of 423/21, 588/6805

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 423/21,588/6805

Given numbers are 423/21,588/6805

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 423,588

Least Common Multiple of Numerators i.e. LCM of 423,588 is 82908.

GCF of Denominators means GCF of 21,6805 as per the given fractions.

GCF of 21,6805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,588

LCM of Fractions 423/21,588/6805 is 82908

3 423, 588
141, 196

∴ So the LCM of the given numbers is 3 x 141 x 196 = 82908

Least Common Multiple of 423,588 with GCF Formula

Least Common Multiple of 423,588 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 423,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,588) = 3

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

GCF(423,588) x common factors =3 x 1 = 3

LCM(423,588) = ( 423 × 588 ) / 3

LCM(423,588) = 248724 / 3

LCM(423,588) = 82908


Lets's calculate GCF of 21,6805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82908/1

Therefore the LCM of Fractions 423/21,588/6805 is 82908

Greatest Common Factor of 21,6805 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,6805 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 6805

List of positive integer factors of 6805 that divides 6805 without a remainder.

1,5,1361,6805

Greatest Common Factor

We found the factors 21,6805 . The biggest common factor number is the GCF number.
So the greatest common factor 21,6805 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 423/21, 588/6805

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 423/21, 588/6805?

Answer: LCM of Numerators as per given numbers 423/21, 588/6805 is

LCM of Numerators i.e. for 423,588 is 82908

GCF of denominators i.e. for 21,6805 is 1.

Thus, LCM of Fractions is 82908.Finally, LCM of Fractions for 423/21, 588/6805 is 82908.