Given Numbers are 411, 416

We can find the LCM of 411, 416 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 411 and 416

Multiples of 411 =411,822,1233,1644,2055,2466,2877,3288,3699,4110,4521,4932,5343,5754,6165,6576,6987,

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

Now, get the least common multiple of 411, 416 which is 170976

So, the LCM of 411, 416 is 170976.

One method for determining the LCM of 411 and 416 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 411's prime factorization:

Prime factors of 411 are 3,137.

411 = 3¹×137¹

And this is 416's prime factorization:

Prime factors of 416 are 2,13.

416 = 2⁵×13¹

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: 3,137, 2,13

2⁵×3¹×13¹×137¹ = 170976

This shows that the LCM of 411 and 416 is 170976.

The first step in determining the Least Common Multiple of 411 and 416 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 411 and 416:

Lets look at the first ten multiples of these numbers, 411 and 416:

411,822,1233,1644,2055,2466,2877,3288,3699,6987 are the first ten multiples of 411.

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

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 411 and 416, for example, are 4932, 6987, and 6656. 170976 is the least common multiple since it is the smallest.

411 and 416 have an LCM of 170976.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 411 and 416, than apply into the LCM equation.

GCF(411,416) = 1
LCM(411,416) = ( 411 × 416) / 1
LCM(411,416) = 170976 / 1
LCM(411,416) = 170976

1. What is the LCM of 411 and 416?

The LCM of 411 and 416 is 170976.

2. How to find the lowest common multiple of 411 and 416?

To find the lowest common multiple of 411 and 416, we have to get the multip;es of both numbers and identify the least common multiple in them which is 170976.

3. What are the Factors of 411?

Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.

4. 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.

Answer:

Least Common Multiple of 411 and 416 = 170976

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 416

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

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

LCM = 170976 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 137

Step 4: Therefore, the least common multiple of 411 and 416 is 170976.