Given Numbers are 424, 432

We can find the LCM of 424, 432 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 424 and 432

Multiples of 424 =424,848,1272,1696,2120,2544,2968,3392,3816,4240,4664,5088,5512,5936,6360,6784,7208,

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

Now, get the least common multiple of 424, 432 which is 22896

So, the LCM of 424, 432 is 22896.

One method for determining the LCM of 424 and 432 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 424's prime factorization:

Prime factors of 424 are 2,53.

424 = 2³×53¹

And this is 432's prime factorization:

Prime factors of 432 are 2,3.

432 = 2⁴×3³

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: 2,53,3

2⁴×3³×53¹ = 22896

This shows that the LCM of 424 and 432 is 22896.

The first step in determining the Least Common Multiple of 424 and 432 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 424 and 432:

Lets look at the first ten multiples of these numbers, 424 and 432:

424,848,1272,1696,2120,2544,2968,3392,3816,7208 are the first ten multiples of 424.

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

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 424 and 432, for example, are 5088, 7208, and 6912. 22896 is the least common multiple since it is the smallest.

424 and 432 have an LCM of 22896.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 432, than apply into the LCM equation.

GCF(424,432) = 8
LCM(424,432) = ( 424 × 432) / 8
LCM(424,432) = 183168 / 8
LCM(424,432) = 22896

1. What is the LCM of 424 and 432?

The LCM of 424 and 432 is 22896.

2. How to find the lowest common multiple of 424 and 432?

To find the lowest common multiple of 424 and 432, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22896.

3. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

4. 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.

Answer:

Least Common Multiple of 424 and 432 = 22896

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 432

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

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

LCM = 22896 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53

Step 4: Therefore, the least common multiple of 424 and 432 is 22896.