Given Numbers are 396, 400

We can find the LCM of 396, 400 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 396 and 400

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

Multiples of 400 =400,800,1200,1600,2000,2400,2800,3200,3600,4000,4400,4800,5200,5600,6000,6400,6800,

Now, get the least common multiple of 396, 400 which is 39600

So, the LCM of 396, 400 is 39600.

One method for determining the LCM of 396 and 400 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 396's prime factorization:

Prime factors of 396 are 2, 3,11.

396 = 2²×3²×11¹

And this is 400's prime factorization:

Prime factors of 400 are 2,5.

400 = 2⁴×5²

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, 3,11,5

2⁴×3²×5²×11¹ = 39600

This shows that the LCM of 396 and 400 is 39600.

The first step in determining the Least Common Multiple of 396 and 400 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 396 and 400:

Lets look at the first ten multiples of these numbers, 396 and 400:

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

400,800,1200,1600,2000,2400,2800,3200,3600,6800 are the first ten multiples of 400.

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 396 and 400, for example, are 4752, 6732, and 6400. 39600 is the least common multiple since it is the smallest.

396 and 400 have an LCM of 39600.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 396 and 400, than apply into the LCM equation.

GCF(396,400) = 4
LCM(396,400) = ( 396 × 400) / 4
LCM(396,400) = 158400 / 4
LCM(396,400) = 39600

1. What is the LCM of 396 and 400?

The LCM of 396 and 400 is 39600.

2. How to find the lowest common multiple of 396 and 400?

To find the lowest common multiple of 396 and 400, we have to get the multip;es of both numbers and identify the least common multiple in them which is 39600.

3. 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.

4. What are the Factors of 400?

Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.

Answer:

Least Common Multiple of 396 and 400 = 39600

Step 1: Find the prime factorization of 396

396 = 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 400

400 = 2 x 2 x 2 x 2 x 5 x 5

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

LCM = 39600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 396 and 400 is 39600.