Given Numbers are 392, 397

We can find the LCM of 392, 397 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 392 and 397

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

Multiples of 397 =397,794,1191,1588,1985,2382,2779,3176,3573,3970,4367,4764,5161,5558,5955,6352,6749,

Now, get the least common multiple of 392, 397 which is 155624

So, the LCM of 392, 397 is 155624.

One method for determining the LCM of 392 and 397 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 397's prime factorization:

Prime factors of 397 are 397.

397 = 397¹

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: 2,7,397

2³×7²×397¹ = 155624

This shows that the LCM of 392 and 397 is 155624.

The first step in determining the Least Common Multiple of 392 and 397 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 392 and 397:

Lets look at the first ten multiples of these numbers, 392 and 397:

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

397,794,1191,1588,1985,2382,2779,3176,3573,6749 are the first ten multiples of 397.

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 397, for example, are 4704, 6664, and 6352. 155624 is the least common multiple since it is the smallest.

392 and 397 have an LCM of 155624.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 392 and 397, than apply into the LCM equation.

GCF(392,397) = 1
LCM(392,397) = ( 392 × 397) / 1
LCM(392,397) = 155624 / 1
LCM(392,397) = 155624

1. What is the LCM of 392 and 397?

The LCM of 392 and 397 is 155624.

2. How to find the lowest common multiple of 392 and 397?

To find the lowest common multiple of 392 and 397, we have to get the multip;es of both numbers and identify the least common multiple in them which is 155624.

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 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

Answer:

Least Common Multiple of 392 and 397 = 155624

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 397

397 = 397

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

LCM = 155624 = 2 x 2 x 2 x 7 x 7 x 397

Step 4: Therefore, the least common multiple of 392 and 397 is 155624.