Given Numbers are 397, 402

We can find the LCM of 397, 402 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 397 and 402

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

Multiples of 402 =402,804,1206,1608,2010,2412,2814,3216,3618,4020,4422,4824,5226,5628,6030,6432,6834,

Now, get the least common multiple of 397, 402 which is 159594

So, the LCM of 397, 402 is 159594.

One method for determining the LCM of 397 and 402 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 397's prime factorization:

Prime factors of 397 are 397.

397 = 397¹

And this is 402's prime factorization:

Prime factors of 402 are 2, 3,67.

402 = 2¹×3¹×67¹

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:397, 2, 3,67

2¹×3¹×67¹×397¹ = 159594

This shows that the LCM of 397 and 402 is 159594.

The first step in determining the Least Common Multiple of 397 and 402 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 397 and 402:

Lets look at the first ten multiples of these numbers, 397 and 402:

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

402,804,1206,1608,2010,2412,2814,3216,3618,6834 are the first ten multiples of 402.

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 397 and 402, for example, are 4764, 6749, and 6432. 159594 is the least common multiple since it is the smallest.

397 and 402 have an LCM of 159594.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 402, than apply into the LCM equation.

GCF(397,402) = 1
LCM(397,402) = ( 397 × 402) / 1
LCM(397,402) = 159594 / 1
LCM(397,402) = 159594

1. What is the LCM of 397 and 402?

The LCM of 397 and 402 is 159594.

2. How to find the lowest common multiple of 397 and 402?

To find the lowest common multiple of 397 and 402, we have to get the multip;es of both numbers and identify the least common multiple in them which is 159594.

3. 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.

4. What are the Factors of 402?

Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.

Answer:

Least Common Multiple of 397 and 402 = 159594

Step 1: Find the prime factorization of 397

397 = 397

Step 2: Find the prime factorization of 402

402 = 2 x 3 x 67

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

LCM = 159594 = 2 x 3 x 67 x 397

Step 4: Therefore, the least common multiple of 397 and 402 is 159594.