Given Numbers are 399, 406

We can find the LCM of 399, 406 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 399 and 406

Multiples of 399 =399,798,1197,1596,1995,2394,2793,3192,3591,3990,4389,4788,5187,5586,5985,6384,6783,

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

Now, get the least common multiple of 399, 406 which is 23142

So, the LCM of 399, 406 is 23142.

One method for determining the LCM of 399 and 406 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 399's prime factorization:

Prime factors of 399 are 3, 7,19.

399 = 3¹×7¹×19¹

And this is 406's prime factorization:

Prime factors of 406 are 2, 7,29.

406 = 2¹×7¹×29¹

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, 7,19, 2,29

2¹×3¹×7¹×19¹×29¹ = 23142

This shows that the LCM of 399 and 406 is 23142.

The first step in determining the Least Common Multiple of 399 and 406 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 399 and 406:

Lets look at the first ten multiples of these numbers, 399 and 406:

399,798,1197,1596,1995,2394,2793,3192,3591,6783 are the first ten multiples of 399.

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

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 399 and 406, for example, are 4788, 6783, and 6496. 23142 is the least common multiple since it is the smallest.

399 and 406 have an LCM of 23142.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 399 and 406, than apply into the LCM equation.

GCF(399,406) = 7
LCM(399,406) = ( 399 × 406) / 7
LCM(399,406) = 161994 / 7
LCM(399,406) = 23142

1. What is the LCM of 399 and 406?

The LCM of 399 and 406 is 23142.

2. How to find the lowest common multiple of 399 and 406?

To find the lowest common multiple of 399 and 406, we have to get the multip;es of both numbers and identify the least common multiple in them which is 23142.

3. What are the Factors of 399?

Answer: Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. There are 8 integers that are factors of 399. The greatest factor of 399 is 399.

4. 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.

Answer:

Least Common Multiple of 399 and 406 = 23142

Step 1: Find the prime factorization of 399

399 = 3 x 7 x 19

Step 2: Find the prime factorization of 406

406 = 2 x 7 x 29

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

LCM = 23142 = 2 x 3 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 399 and 406 is 23142.