Least Common Multiple of 21/585, 420/688, 384/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/585, 420/688, 384/563 quickly i.e. 13440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/585, 420/688, 384/563 is 13440.

LCM(21/585, 420/688, 384/563) = 13440

LCM of 21/585, 420/688, 384/563

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 21/585,420/688,384/563

Given numbers are 21/585,420/688,384/563

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 21,420,384

Least Common Multiple of Numerators i.e. LCM of 21,420,384 is 13440.

GCF of Denominators means GCF of 585,688,563 as per the given fractions.

GCF of 585,688,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,420,384

LCM of Fractions 21/585,420/688,384/563 is 13440

2 21, 420, 384
2 21, 210, 192
3 21, 105, 96
7 7, 35, 32
1, 5, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 5 x 32 = 13440

Least Common Multiple of 21,420,384 with GCF Formula

Least Common Multiple of 21,420,384 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 21,420,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,420,384) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(21,420,384) x common factors =3 x 84 = 252

LCM(21,420,384) = ( 21 × 420 × 384 ) / 252

LCM(21,420,384) = 3386880 / 252

LCM(21,420,384) = 13440


Lets's calculate GCF of 585,688,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13440/1

Therefore the LCM of Fractions 21/585,420/688,384/563 is 13440

Greatest Common Factor of 585,688,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,688,563 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 585,688,563 . The biggest common factor number is the GCF number.
So the greatest common factor 585,688,563 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 21/585, 420/688, 384/563

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 21/585, 420/688, 384/563?

Answer: LCM of Numerators as per given numbers 21/585, 420/688, 384/563 is

LCM of Numerators i.e. for 21,420,384 is 13440

GCF of denominators i.e. for 585,688,563 is 1.

Thus, LCM of Fractions is 13440.Finally, LCM of Fractions for 21/585, 420/688, 384/563 is 13440.