Given Numbers are 394, 401

We can find the LCM of 394, 401 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 394 and 401

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

Multiples of 401 =401,802,1203,1604,2005,2406,2807,3208,3609,4010,4411,4812,5213,5614,6015,6416,6817,

Now, get the least common multiple of 394, 401 which is 157994

So, the LCM of 394, 401 is 157994.

One method for determining the LCM of 394 and 401 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 401's prime factorization:

Prime factors of 401 are 401.

401 = 401¹

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: 2,197,401

2¹×197¹×401¹ = 157994

This shows that the LCM of 394 and 401 is 157994.

The first step in determining the Least Common Multiple of 394 and 401 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 394 and 401:

Lets look at the first ten multiples of these numbers, 394 and 401:

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

401,802,1203,1604,2005,2406,2807,3208,3609,6817 are the first ten multiples of 401.

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 401, for example, are 4728, 6698, and 6416. 157994 is the least common multiple since it is the smallest.

394 and 401 have an LCM of 157994.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 394 and 401, than apply into the LCM equation.

GCF(394,401) = 1
LCM(394,401) = ( 394 × 401) / 1
LCM(394,401) = 157994 / 1
LCM(394,401) = 157994

1. What is the LCM of 394 and 401?

The LCM of 394 and 401 is 157994.

2. How to find the lowest common multiple of 394 and 401?

To find the lowest common multiple of 394 and 401, we have to get the multip;es of both numbers and identify the least common multiple in them which is 157994.

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 401?

Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.

Answer:

Least Common Multiple of 394 and 401 = 157994

Step 1: Find the prime factorization of 394

394 = 2 x 197

Step 2: Find the prime factorization of 401

401 = 401

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

LCM = 157994 = 2 x 197 x 401

Step 4: Therefore, the least common multiple of 394 and 401 is 157994.