Given Numbers are 406, 411

We can find the LCM of 406, 411 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 406 and 411

Multiples of 406 =406,812,1218,1624,2030,2436,2842,3248,3654,4060,4466,4872,5278,5684,6090,6496,6902,

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

Now, get the least common multiple of 406, 411 which is 166866

So, the LCM of 406, 411 is 166866.

One method for determining the LCM of 406 and 411 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 406's prime factorization:

Prime factors of 406 are 2, 7,29.

406 = 2¹×7¹×29¹

And this is 411's prime factorization:

Prime factors of 411 are 3,137.

411 = 3¹×137¹

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, 7,29, 3,137

2¹×3¹×7¹×29¹×137¹ = 166866

This shows that the LCM of 406 and 411 is 166866.

The first step in determining the Least Common Multiple of 406 and 411 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 406 and 411:

Lets look at the first ten multiples of these numbers, 406 and 411:

406,812,1218,1624,2030,2436,2842,3248,3654,6902 are the first ten multiples of 406.

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

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 406 and 411, for example, are 4872, 6902, and 6576. 166866 is the least common multiple since it is the smallest.

406 and 411 have an LCM of 166866.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 406 and 411, than apply into the LCM equation.

GCF(406,411) = 1
LCM(406,411) = ( 406 × 411) / 1
LCM(406,411) = 166866 / 1
LCM(406,411) = 166866

1. What is the LCM of 406 and 411?

The LCM of 406 and 411 is 166866.

2. How to find the lowest common multiple of 406 and 411?

To find the lowest common multiple of 406 and 411, we have to get the multip;es of both numbers and identify the least common multiple in them which is 166866.

3. What are the Factors of 406?

Answer: Factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. There are 8 integers that are factors of 406. The greatest factor of 406 is 406.

4. 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.

Answer:

Least Common Multiple of 406 and 411 = 166866

Step 1: Find the prime factorization of 406

406 = 2 x 7 x 29

Step 2: Find the prime factorization of 411

411 = 3 x 137

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

LCM = 166866 = 2 x 3 x 7 x 29 x 137

Step 4: Therefore, the least common multiple of 406 and 411 is 166866.