Least Common Multiple of 405/432, 5448/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/432, 5448/828 quickly i.e. 20430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/432, 5448/828 is 20430.

LCM(405/432, 5448/828) = 20430

LCM of 405/432, 5448/828

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 405/432,5448/828

Given numbers are 405/432,5448/828

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 405,5448

Least Common Multiple of Numerators i.e. LCM of 405,5448 is 735480.

GCF of Denominators means GCF of 432,828 as per the given fractions.

GCF of 432,828 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,5448

LCM of Fractions 405/432,5448/828 is 20430

3 405, 5448
135, 1816

∴ So the LCM of the given numbers is 3 x 135 x 1816 = 735480

Least Common Multiple of 405,5448 with GCF Formula

Least Common Multiple of 405,5448 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 405,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,5448) = 3

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

GCF(405,5448) x common factors =3 x 1 = 3

LCM(405,5448) = ( 405 × 5448 ) / 3

LCM(405,5448) = 2206440 / 3

LCM(405,5448) = 735480


Lets's calculate GCF of 432,828

2 432, 828
2 216, 414
3 108, 207
3 36, 69
12, 23

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735480/36

Therefore the LCM of Fractions 405/432,5448/828 is 20430

Greatest Common Factor of 432,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,828 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 432,828 . The biggest common factor number is the GCF number.
So the greatest common factor 432,828 is 36.


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 405/432, 5448/828

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 405/432, 5448/828?

Answer: LCM of Numerators as per given numbers 405/432, 5448/828 is

LCM of Numerators i.e. for 405,5448 is 735480

GCF of denominators i.e. for 432,828 is 36.

Thus, LCM of Fractions is 20430.Finally, LCM of Fractions for 405/432, 5448/828 is 20430.