Given Numbers are 385, 390

We can find the LCM of 385, 390 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 385 and 390

Multiples of 385 =385,770,1155,1540,1925,2310,2695,3080,3465,3850,4235,4620,5005,5390,5775,6160,6545,

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 385, 390 which is 30030

So, the LCM of 385, 390 is 30030.

One method for determining the LCM of 385 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 385's prime factorization:

Prime factors of 385 are 5, 7,11.

385 = 5¹×7¹×11¹

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: 5, 7,11, 2, 3,13

2¹×3¹×5¹×7¹×11¹×13¹ = 30030

This shows that the LCM of 385 and 390 is 30030.

The first step in determining the Least Common Multiple of 385 and 390 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 385 and 390:

Lets look at the first ten multiples of these numbers, 385 and 390:

385,770,1155,1540,1925,2310,2695,3080,3465,6545 are the first ten multiples of 385.

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 385 and 390, for example, are 4620, 6545, and 6240. 30030 is the least common multiple since it is the smallest.

385 and 390 have an LCM of 30030.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 390, than apply into the LCM equation.

GCF(385,390) = 5
LCM(385,390) = ( 385 × 390) / 5
LCM(385,390) = 150150 / 5
LCM(385,390) = 30030

1. What is the LCM of 385 and 390?

The LCM of 385 and 390 is 30030.

2. How to find the lowest common multiple of 385 and 390?

To find the lowest common multiple of 385 and 390, we have to get the multip;es of both numbers and identify the least common multiple in them which is 30030.

3. What are the Factors of 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

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 385 and 390 = 30030

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

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 = 30030 = 2 x 3 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 385 and 390 is 30030.