Given Numbers are 385, 393

We can find the LCM of 385, 393 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 385 and 393

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

Multiples of 393 =393,786,1179,1572,1965,2358,2751,3144,3537,3930,4323,4716,5109,5502,5895,6288,6681,

Now, get the least common multiple of 385, 393 which is 151305

So, the LCM of 385, 393 is 151305.

One method for determining the LCM of 385 and 393 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 393's prime factorization:

Prime factors of 393 are 3,131.

393 = 3¹×131¹

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, 3,131

3¹×5¹×7¹×11¹×131¹ = 151305

This shows that the LCM of 385 and 393 is 151305.

The first step in determining the Least Common Multiple of 385 and 393 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 385 and 393:

Lets look at the first ten multiples of these numbers, 385 and 393:

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

393,786,1179,1572,1965,2358,2751,3144,3537,6681 are the first ten multiples of 393.

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 393, for example, are 4620, 6545, and 6288. 151305 is the least common multiple since it is the smallest.

385 and 393 have an LCM of 151305.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 393, than apply into the LCM equation.

GCF(385,393) = 1
LCM(385,393) = ( 385 × 393) / 1
LCM(385,393) = 151305 / 1
LCM(385,393) = 151305

1. What is the LCM of 385 and 393?

The LCM of 385 and 393 is 151305.

2. How to find the lowest common multiple of 385 and 393?

To find the lowest common multiple of 385 and 393, we have to get the multip;es of both numbers and identify the least common multiple in them which is 151305.

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 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

Answer:

Least Common Multiple of 385 and 393 = 151305

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 393

393 = 3 x 131

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

LCM = 151305 = 3 x 5 x 7 x 11 x 131

Step 4: Therefore, the least common multiple of 385 and 393 is 151305.