Given Numbers are 432, 440

We can find the LCM of 432, 440 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 432 and 440

Multiples of 432 =432,864,1296,1728,2160,2592,3024,3456,3888,4320,4752,5184,5616,6048,6480,6912,7344,

Multiples of 440 =440,880,1320,1760,2200,2640,3080,3520,3960,4400,4840,5280,5720,6160,6600,7040,7480,

Now, get the least common multiple of 432, 440 which is 23760

So, the LCM of 432, 440 is 23760.

One method for determining the LCM of 432 and 440 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 432's prime factorization:

Prime factors of 432 are 2,3.

432 = 2⁴×3³

And this is 440's prime factorization:

Prime factors of 440 are 2, 5,11.

440 = 2³×5¹×11¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,3, 5,11

2⁴×3³×5¹×11¹ = 23760

This shows that the LCM of 432 and 440 is 23760.

The first step in determining the Least Common Multiple of 432 and 440 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 432 and 440:

Lets look at the first ten multiples of these numbers, 432 and 440:

432,864,1296,1728,2160,2592,3024,3456,3888,7344 are the first ten multiples of 432.

440,880,1320,1760,2200,2640,3080,3520,3960,7480 are the first ten multiples of 440.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 432 and 440, for example, are 5184, 7344, and 7040. 23760 is the least common multiple since it is the smallest.

432 and 440 have an LCM of 23760.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 432 and 440, than apply into the LCM equation.

GCF(432,440) = 8
LCM(432,440) = ( 432 × 440) / 8
LCM(432,440) = 190080 / 8
LCM(432,440) = 23760

1. What is the LCM of 432 and 440?

The LCM of 432 and 440 is 23760.

2. How to find the lowest common multiple of 432 and 440?

To find the lowest common multiple of 432 and 440, we have to get the multip;es of both numbers and identify the least common multiple in them which is 23760.

3. What are the Factors of 432?

Answer: Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. There are 20 integers that are factors of 432. The greatest factor of 432 is 432.

4. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

Answer:

Least Common Multiple of 432 and 440 = 23760

Step 1: Find the prime factorization of 432

432 = 2 x 2 x 2 x 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23760 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 432 and 440 is 23760.