Given Numbers are 462, 467

We can find the LCM of 462, 467 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 462 and 467

Multiples of 462 =462,924,1386,1848,2310,2772,3234,3696,4158,4620,5082,5544,6006,6468,6930,7392,7854,

Multiples of 467 =467,934,1401,1868,2335,2802,3269,3736,4203,4670,5137,5604,6071,6538,7005,7472,7939,

Now, get the least common multiple of 462, 467 which is 215754

So, the LCM of 462, 467 is 215754.

One method for determining the LCM of 462 and 467 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 462's prime factorization:

Prime factors of 462 are 2, 3, 7,11.

462 = 2¹×3¹×7¹×11¹

And this is 467's prime factorization:

Prime factors of 467 are 467.

467 = 467¹

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, 3, 7,11,467

2¹×3¹×7¹×11¹×467¹ = 215754

This shows that the LCM of 462 and 467 is 215754.

The first step in determining the Least Common Multiple of 462 and 467 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 462 and 467:

Lets look at the first ten multiples of these numbers, 462 and 467:

462,924,1386,1848,2310,2772,3234,3696,4158,7854 are the first ten multiples of 462.

467,934,1401,1868,2335,2802,3269,3736,4203,7939 are the first ten multiples of 467.

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 462 and 467, for example, are 5544, 7854, and 7472. 215754 is the least common multiple since it is the smallest.

462 and 467 have an LCM of 215754.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 462 and 467, than apply into the LCM equation.

GCF(462,467) = 1
LCM(462,467) = ( 462 × 467) / 1
LCM(462,467) = 215754 / 1
LCM(462,467) = 215754

1. What is the LCM of 462 and 467?

The LCM of 462 and 467 is 215754.

2. How to find the lowest common multiple of 462 and 467?

To find the lowest common multiple of 462 and 467, we have to get the multip;es of both numbers and identify the least common multiple in them which is 215754.

3. What are the Factors of 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

4. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

Answer:

Least Common Multiple of 462 and 467 = 215754

Step 1: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 467

467 = 467

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

LCM = 215754 = 2 x 3 x 7 x 11 x 467

Step 4: Therefore, the least common multiple of 462 and 467 is 215754.