Given Numbers are 390, 395

We can find the LCM of 390, 395 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 390 and 395

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

Multiples of 395 =395,790,1185,1580,1975,2370,2765,3160,3555,3950,4345,4740,5135,5530,5925,6320,6715,

Now, get the least common multiple of 390, 395 which is 30810

So, the LCM of 390, 395 is 30810.

One method for determining the LCM of 390 and 395 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 395's prime factorization:

Prime factors of 395 are 5,79.

395 = 5¹×79¹

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, 5,13,79

2¹×3¹×5¹×13¹×79¹ = 30810

This shows that the LCM of 390 and 395 is 30810.

The first step in determining the Least Common Multiple of 390 and 395 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 390 and 395:

Lets look at the first ten multiples of these numbers, 390 and 395:

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

395,790,1185,1580,1975,2370,2765,3160,3555,6715 are the first ten multiples of 395.

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 395, for example, are 4680, 6630, and 6320. 30810 is the least common multiple since it is the smallest.

390 and 395 have an LCM of 30810.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 390 and 395, than apply into the LCM equation.

GCF(390,395) = 5
LCM(390,395) = ( 390 × 395) / 5
LCM(390,395) = 154050 / 5
LCM(390,395) = 30810

1. What is the LCM of 390 and 395?

The LCM of 390 and 395 is 30810.

2. How to find the lowest common multiple of 390 and 395?

To find the lowest common multiple of 390 and 395, we have to get the multip;es of both numbers and identify the least common multiple in them which is 30810.

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 395?

Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.

Answer:

Least Common Multiple of 390 and 395 = 30810

Step 1: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 395

395 = 5 x 79

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

LCM = 30810 = 2 x 3 x 5 x 13 x 79

Step 4: Therefore, the least common multiple of 390 and 395 is 30810.