Given Numbers are 459, 466

We can find the LCM of 459, 466 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 459 and 466

Multiples of 459 =459,918,1377,1836,2295,2754,3213,3672,4131,4590,5049,5508,5967,6426,6885,7344,7803,

Multiples of 466 =466,932,1398,1864,2330,2796,3262,3728,4194,4660,5126,5592,6058,6524,6990,7456,7922,

Now, get the least common multiple of 459, 466 which is 213894

So, the LCM of 459, 466 is 213894.

One method for determining the LCM of 459 and 466 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 459's prime factorization:

Prime factors of 459 are 3,17.

459 = 3³×17¹

And this is 466's prime factorization:

Prime factors of 466 are 2,233.

466 = 2¹×233¹

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: 3,17, 2,233

2¹×3³×17¹×233¹ = 213894

This shows that the LCM of 459 and 466 is 213894.

The first step in determining the Least Common Multiple of 459 and 466 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 459 and 466:

Lets look at the first ten multiples of these numbers, 459 and 466:

459,918,1377,1836,2295,2754,3213,3672,4131,7803 are the first ten multiples of 459.

466,932,1398,1864,2330,2796,3262,3728,4194,7922 are the first ten multiples of 466.

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 459 and 466, for example, are 5508, 7803, and 7456. 213894 is the least common multiple since it is the smallest.

459 and 466 have an LCM of 213894.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 459 and 466, than apply into the LCM equation.

GCF(459,466) = 1
LCM(459,466) = ( 459 × 466) / 1
LCM(459,466) = 213894 / 1
LCM(459,466) = 213894

1. What is the LCM of 459 and 466?

The LCM of 459 and 466 is 213894.

2. How to find the lowest common multiple of 459 and 466?

To find the lowest common multiple of 459 and 466, we have to get the multip;es of both numbers and identify the least common multiple in them which is 213894.

3. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

4. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

Answer:

Least Common Multiple of 459 and 466 = 213894

Step 1: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 466

466 = 2 x 233

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

LCM = 213894 = 2 x 3 x 3 x 3 x 17 x 233

Step 4: Therefore, the least common multiple of 459 and 466 is 213894.