Given Numbers are 467, 474

We can find the LCM of 467, 474 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 467 and 474

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

Multiples of 474 =474,948,1422,1896,2370,2844,3318,3792,4266,4740,5214,5688,6162,6636,7110,7584,8058,

Now, get the least common multiple of 467, 474 which is 221358

So, the LCM of 467, 474 is 221358.

One method for determining the LCM of 467 and 474 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 474's prime factorization:

Prime factors of 474 are 2, 3,79.

474 = 2¹×3¹×79¹

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, 2, 3,79

2¹×3¹×79¹×467¹ = 221358

This shows that the LCM of 467 and 474 is 221358.

The first step in determining the Least Common Multiple of 467 and 474 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 467 and 474:

Lets look at the first ten multiples of these numbers, 467 and 474:

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

474,948,1422,1896,2370,2844,3318,3792,4266,8058 are the first ten multiples of 474.

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 474, for example, are 5604, 7939, and 7584. 221358 is the least common multiple since it is the smallest.

467 and 474 have an LCM of 221358.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 467 and 474, than apply into the LCM equation.

GCF(467,474) = 1
LCM(467,474) = ( 467 × 474) / 1
LCM(467,474) = 221358 / 1
LCM(467,474) = 221358

1. What is the LCM of 467 and 474?

The LCM of 467 and 474 is 221358.

2. How to find the lowest common multiple of 467 and 474?

To find the lowest common multiple of 467 and 474, we have to get the multip;es of both numbers and identify the least common multiple in them which is 221358.

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 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

Answer:

Least Common Multiple of 467 and 474 = 221358

Step 1: Find the prime factorization of 467

467 = 467

Step 2: Find the prime factorization of 474

474 = 2 x 3 x 79

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

LCM = 221358 = 2 x 3 x 79 x 467

Step 4: Therefore, the least common multiple of 467 and 474 is 221358.