Given Numbers are 392, 396

We can find the LCM of 392, 396 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 392 and 396

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

Multiples of 396 =396,792,1188,1584,1980,2376,2772,3168,3564,3960,4356,4752,5148,5544,5940,6336,6732,

Now, get the least common multiple of 392, 396 which is 38808

So, the LCM of 392, 396 is 38808.

One method for determining the LCM of 392 and 396 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 396's prime factorization:

Prime factors of 396 are 2, 3,11.

396 = 2²×3²×11¹

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, 3,11

2³×3²×7²×11¹ = 38808

This shows that the LCM of 392 and 396 is 38808.

The first step in determining the Least Common Multiple of 392 and 396 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 392 and 396:

Lets look at the first ten multiples of these numbers, 392 and 396:

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

396,792,1188,1584,1980,2376,2772,3168,3564,6732 are the first ten multiples of 396.

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 396, for example, are 4704, 6664, and 6336. 38808 is the least common multiple since it is the smallest.

392 and 396 have an LCM of 38808.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 392 and 396, than apply into the LCM equation.

GCF(392,396) = 4
LCM(392,396) = ( 392 × 396) / 4
LCM(392,396) = 155232 / 4
LCM(392,396) = 38808

1. What is the LCM of 392 and 396?

The LCM of 392 and 396 is 38808.

2. How to find the lowest common multiple of 392 and 396?

To find the lowest common multiple of 392 and 396, we have to get the multip;es of both numbers and identify the least common multiple in them which is 38808.

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 396?

Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.

Answer:

Least Common Multiple of 392 and 396 = 38808

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 396

396 = 2 x 2 x 3 x 3 x 11

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

LCM = 38808 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 392 and 396 is 38808.