Given Numbers are 416, 424

We can find the LCM of 416, 424 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 416 and 424

Multiples of 416 =416,832,1248,1664,2080,2496,2912,3328,3744,4160,4576,4992,5408,5824,6240,6656,7072,

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

Now, get the least common multiple of 416, 424 which is 22048

So, the LCM of 416, 424 is 22048.

One method for determining the LCM of 416 and 424 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 416's prime factorization:

Prime factors of 416 are 2,13.

416 = 2⁵×13¹

And this is 424's prime factorization:

Prime factors of 424 are 2,53.

424 = 2³×53¹

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: 2,13,53

2⁵×13¹×53¹ = 22048

This shows that the LCM of 416 and 424 is 22048.

The first step in determining the Least Common Multiple of 416 and 424 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 416 and 424:

Lets look at the first ten multiples of these numbers, 416 and 424:

416,832,1248,1664,2080,2496,2912,3328,3744,7072 are the first ten multiples of 416.

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

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 416 and 424, for example, are 4992, 7072, and 6784. 22048 is the least common multiple since it is the smallest.

416 and 424 have an LCM of 22048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 416 and 424, than apply into the LCM equation.

GCF(416,424) = 8
LCM(416,424) = ( 416 × 424) / 8
LCM(416,424) = 176384 / 8
LCM(416,424) = 22048

1. What is the LCM of 416 and 424?

The LCM of 416 and 424 is 22048.

2. How to find the lowest common multiple of 416 and 424?

To find the lowest common multiple of 416 and 424, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22048.

3. What are the Factors of 416?

Answer: Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. There are 12 integers that are factors of 416. The greatest factor of 416 is 416.

4. 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.

Answer:

Least Common Multiple of 416 and 424 = 22048

Step 1: Find the prime factorization of 416

416 = 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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

LCM = 22048 = 2 x 2 x 2 x 2 x 2 x 13 x 53

Step 4: Therefore, the least common multiple of 416 and 424 is 22048.