Given Numbers are 393, 400

We can find the LCM of 393, 400 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 393 and 400

Multiples of 393 =393,786,1179,1572,1965,2358,2751,3144,3537,3930,4323,4716,5109,5502,5895,6288,6681,

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 393, 400 which is 157200

So, the LCM of 393, 400 is 157200.

One method for determining the LCM of 393 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 393's prime factorization:

Prime factors of 393 are 3,131.

393 = 3¹×131¹

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: 3,131, 2,5

2⁴×3¹×5²×131¹ = 157200

This shows that the LCM of 393 and 400 is 157200.

The first step in determining the Least Common Multiple of 393 and 400 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 393 and 400:

Lets look at the first ten multiples of these numbers, 393 and 400:

393,786,1179,1572,1965,2358,2751,3144,3537,6681 are the first ten multiples of 393.

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 393 and 400, for example, are 4716, 6681, and 6400. 157200 is the least common multiple since it is the smallest.

393 and 400 have an LCM of 157200.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 393 and 400, than apply into the LCM equation.

GCF(393,400) = 1
LCM(393,400) = ( 393 × 400) / 1
LCM(393,400) = 157200 / 1
LCM(393,400) = 157200

1. What is the LCM of 393 and 400?

The LCM of 393 and 400 is 157200.

2. How to find the lowest common multiple of 393 and 400?

To find the lowest common multiple of 393 and 400, we have to get the multip;es of both numbers and identify the least common multiple in them which is 157200.

3. What are the Factors of 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

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 393 and 400 = 157200

Step 1: Find the prime factorization of 393

393 = 3 x 131

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 = 157200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 131

Step 4: Therefore, the least common multiple of 393 and 400 is 157200.