Given Numbers are 394, 400

We can find the LCM of 394, 400 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 394 and 400

Multiples of 394 =394,788,1182,1576,1970,2364,2758,3152,3546,3940,4334,4728,5122,5516,5910,6304,6698,

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 394, 400 which is 78800

So, the LCM of 394, 400 is 78800.

One method for determining the LCM of 394 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 394's prime factorization:

Prime factors of 394 are 2,197.

394 = 2¹×197¹

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: 2,197,5

2⁴×5²×197¹ = 78800

This shows that the LCM of 394 and 400 is 78800.

The first step in determining the Least Common Multiple of 394 and 400 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 394 and 400:

Lets look at the first ten multiples of these numbers, 394 and 400:

394,788,1182,1576,1970,2364,2758,3152,3546,6698 are the first ten multiples of 394.

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 394 and 400, for example, are 4728, 6698, and 6400. 78800 is the least common multiple since it is the smallest.

394 and 400 have an LCM of 78800.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 394 and 400, than apply into the LCM equation.

GCF(394,400) = 2
LCM(394,400) = ( 394 × 400) / 2
LCM(394,400) = 157600 / 2
LCM(394,400) = 78800

1. What is the LCM of 394 and 400?

The LCM of 394 and 400 is 78800.

2. How to find the lowest common multiple of 394 and 400?

To find the lowest common multiple of 394 and 400, we have to get the multip;es of both numbers and identify the least common multiple in them which is 78800.

3. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

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 394 and 400 = 78800

Step 1: Find the prime factorization of 394

394 = 2 x 197

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 = 78800 = 2 x 2 x 2 x 2 x 5 x 5 x 197

Step 4: Therefore, the least common multiple of 394 and 400 is 78800.