Given Numbers are 466, 470

We can find the LCM of 466, 470 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 466 and 470

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

Multiples of 470 =470,940,1410,1880,2350,2820,3290,3760,4230,4700,5170,5640,6110,6580,7050,7520,7990,

Now, get the least common multiple of 466, 470 which is 109510

So, the LCM of 466, 470 is 109510.

One method for determining the LCM of 466 and 470 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 466's prime factorization:

Prime factors of 466 are 2,233.

466 = 2¹×233¹

And this is 470's prime factorization:

Prime factors of 470 are 2, 5,47.

470 = 2¹×5¹×47¹

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: 2,233, 5,47

2¹×5¹×47¹×233¹ = 109510

This shows that the LCM of 466 and 470 is 109510.

The first step in determining the Least Common Multiple of 466 and 470 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 466 and 470:

Lets look at the first ten multiples of these numbers, 466 and 470:

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

470,940,1410,1880,2350,2820,3290,3760,4230,7990 are the first ten multiples of 470.

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 466 and 470, for example, are 5592, 7922, and 7520. 109510 is the least common multiple since it is the smallest.

466 and 470 have an LCM of 109510.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 466 and 470, than apply into the LCM equation.

GCF(466,470) = 2
LCM(466,470) = ( 466 × 470) / 2
LCM(466,470) = 219020 / 2
LCM(466,470) = 109510

1. What is the LCM of 466 and 470?

The LCM of 466 and 470 is 109510.

2. How to find the lowest common multiple of 466 and 470?

To find the lowest common multiple of 466 and 470, we have to get the multip;es of both numbers and identify the least common multiple in them which is 109510.

3. 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.

4. What are the Factors of 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

Answer:

Least Common Multiple of 466 and 470 = 109510

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 470

470 = 2 x 5 x 47

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

LCM = 109510 = 2 x 5 x 47 x 233

Step 4: Therefore, the least common multiple of 466 and 470 is 109510.