Given Numbers are 390, 397

We can find the LCM of 390, 397 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 390 and 397

Multiples of 390 =390,780,1170,1560,1950,2340,2730,3120,3510,3900,4290,4680,5070,5460,5850,6240,6630,

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 390, 397 which is 154830

So, the LCM of 390, 397 is 154830.

One method for determining the LCM of 390 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 390's prime factorization:

Prime factors of 390 are 2, 3, 5,13.

390 = 2¹×3¹×5¹×13¹

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, 3, 5,13,397

2¹×3¹×5¹×13¹×397¹ = 154830

This shows that the LCM of 390 and 397 is 154830.

The first step in determining the Least Common Multiple of 390 and 397 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 390 and 397:

Lets look at the first ten multiples of these numbers, 390 and 397:

390,780,1170,1560,1950,2340,2730,3120,3510,6630 are the first ten multiples of 390.

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 390 and 397, for example, are 4680, 6630, and 6352. 154830 is the least common multiple since it is the smallest.

390 and 397 have an LCM of 154830.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 390 and 397, than apply into the LCM equation.

GCF(390,397) = 1
LCM(390,397) = ( 390 × 397) / 1
LCM(390,397) = 154830 / 1
LCM(390,397) = 154830

1. What is the LCM of 390 and 397?

The LCM of 390 and 397 is 154830.

2. How to find the lowest common multiple of 390 and 397?

To find the lowest common multiple of 390 and 397, we have to get the multip;es of both numbers and identify the least common multiple in them which is 154830.

3. What are the Factors of 390?

Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.

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 390 and 397 = 154830

Step 1: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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 = 154830 = 2 x 3 x 5 x 13 x 397

Step 4: Therefore, the least common multiple of 390 and 397 is 154830.