Given Numbers are 386, 390

We can find the LCM of 386, 390 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 386 and 390

Multiples of 386 =386,772,1158,1544,1930,2316,2702,3088,3474,3860,4246,4632,5018,5404,5790,6176,6562,

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

Now, get the least common multiple of 386, 390 which is 75270

So, the LCM of 386, 390 is 75270.

One method for determining the LCM of 386 and 390 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 386's prime factorization:

Prime factors of 386 are 2,193.

386 = 2¹×193¹

And this is 390's prime factorization:

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

390 = 2¹×3¹×5¹×13¹

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: 2,193, 3, 5,13

2¹×3¹×5¹×13¹×193¹ = 75270

This shows that the LCM of 386 and 390 is 75270.

The first step in determining the Least Common Multiple of 386 and 390 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 386 and 390:

Lets look at the first ten multiples of these numbers, 386 and 390:

386,772,1158,1544,1930,2316,2702,3088,3474,6562 are the first ten multiples of 386.

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

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 386 and 390, for example, are 4632, 6562, and 6240. 75270 is the least common multiple since it is the smallest.

386 and 390 have an LCM of 75270.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 386 and 390, than apply into the LCM equation.

GCF(386,390) = 2
LCM(386,390) = ( 386 × 390) / 2
LCM(386,390) = 150540 / 2
LCM(386,390) = 75270

1. What is the LCM of 386 and 390?

The LCM of 386 and 390 is 75270.

2. How to find the lowest common multiple of 386 and 390?

To find the lowest common multiple of 386 and 390, we have to get the multip;es of both numbers and identify the least common multiple in them which is 75270.

3. What are the Factors of 386?

Answer: Factors of 386 are 1, 2, 193, 386. There are 4 integers that are factors of 386. The greatest factor of 386 is 386.

4. 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.

Answer:

Least Common Multiple of 386 and 390 = 75270

Step 1: Find the prime factorization of 386

386 = 2 x 193

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

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

LCM = 75270 = 2 x 3 x 5 x 13 x 193

Step 4: Therefore, the least common multiple of 386 and 390 is 75270.