Given Numbers are 392, 399

We can find the LCM of 392, 399 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 392 and 399

Multiples of 392 =392,784,1176,1568,1960,2352,2744,3136,3528,3920,4312,4704,5096,5488,5880,6272,6664,

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

Now, get the least common multiple of 392, 399 which is 22344

So, the LCM of 392, 399 is 22344.

One method for determining the LCM of 392 and 399 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 392's prime factorization:

Prime factors of 392 are 2,7.

392 = 2³×7²

And this is 399's prime factorization:

Prime factors of 399 are 3, 7,19.

399 = 3¹×7¹×19¹

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, 3,19

2³×3¹×7²×19¹ = 22344

This shows that the LCM of 392 and 399 is 22344.

The first step in determining the Least Common Multiple of 392 and 399 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 392 and 399:

Lets look at the first ten multiples of these numbers, 392 and 399:

392,784,1176,1568,1960,2352,2744,3136,3528,6664 are the first ten multiples of 392.

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

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 392 and 399, for example, are 4704, 6664, and 6384. 22344 is the least common multiple since it is the smallest.

392 and 399 have an LCM of 22344.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 392 and 399, than apply into the LCM equation.

GCF(392,399) = 7
LCM(392,399) = ( 392 × 399) / 7
LCM(392,399) = 156408 / 7
LCM(392,399) = 22344

1. What is the LCM of 392 and 399?

The LCM of 392 and 399 is 22344.

2. How to find the lowest common multiple of 392 and 399?

To find the lowest common multiple of 392 and 399, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22344.

3. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. 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.

Answer:

Least Common Multiple of 392 and 399 = 22344

Step 1: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 399

399 = 3 x 7 x 19

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

LCM = 22344 = 2 x 2 x 2 x 3 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 392 and 399 is 22344.