Given Numbers are 467, 475

We can find the LCM of 467, 475 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 467 and 475

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

Multiples of 475 =475,950,1425,1900,2375,2850,3325,3800,4275,4750,5225,5700,6175,6650,7125,7600,8075,

Now, get the least common multiple of 467, 475 which is 221825

So, the LCM of 467, 475 is 221825.

One method for determining the LCM of 467 and 475 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 467's prime factorization:

Prime factors of 467 are 467.

467 = 467¹

And this is 475's prime factorization:

Prime factors of 475 are 5,19.

475 = 5²×19¹

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:467, 5,19

5²×19¹×467¹ = 221825

This shows that the LCM of 467 and 475 is 221825.

The first step in determining the Least Common Multiple of 467 and 475 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 467 and 475:

Lets look at the first ten multiples of these numbers, 467 and 475:

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

475,950,1425,1900,2375,2850,3325,3800,4275,8075 are the first ten multiples of 475.

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 467 and 475, for example, are 5604, 7939, and 7600. 221825 is the least common multiple since it is the smallest.

467 and 475 have an LCM of 221825.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 467 and 475, than apply into the LCM equation.

GCF(467,475) = 1
LCM(467,475) = ( 467 × 475) / 1
LCM(467,475) = 221825 / 1
LCM(467,475) = 221825

1. What is the LCM of 467 and 475?

The LCM of 467 and 475 is 221825.

2. How to find the lowest common multiple of 467 and 475?

To find the lowest common multiple of 467 and 475, we have to get the multip;es of both numbers and identify the least common multiple in them which is 221825.

3. 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.

4. What are the Factors of 475?

Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.

Answer:

Least Common Multiple of 467 and 475 = 221825

Step 1: Find the prime factorization of 467

467 = 467

Step 2: Find the prime factorization of 475

475 = 5 x 5 x 19

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

LCM = 221825 = 5 x 5 x 19 x 467

Step 4: Therefore, the least common multiple of 467 and 475 is 221825.