Given Numbers are 479, 487

We can find the LCM of 479, 487 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 479 and 487

Multiples of 479 =479,958,1437,1916,2395,2874,3353,3832,4311,4790,5269,5748,6227,6706,7185,7664,8143,

Multiples of 487 =487,974,1461,1948,2435,2922,3409,3896,4383,4870,5357,5844,6331,6818,7305,7792,8279,

Now, get the least common multiple of 479, 487 which is 233273

So, the LCM of 479, 487 is 233273.

One method for determining the LCM of 479 and 487 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 479's prime factorization:

Prime factors of 479 are 479.

479 = 479¹

And this is 487's prime factorization:

Prime factors of 487 are 487.

487 = 487¹

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:479,487

479¹×487¹ = 233273

This shows that the LCM of 479 and 487 is 233273.

The first step in determining the Least Common Multiple of 479 and 487 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 479 and 487:

Lets look at the first ten multiples of these numbers, 479 and 487:

479,958,1437,1916,2395,2874,3353,3832,4311,8143 are the first ten multiples of 479.

487,974,1461,1948,2435,2922,3409,3896,4383,8279 are the first ten multiples of 487.

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 479 and 487, for example, are 5748, 8143, and 7792. 233273 is the least common multiple since it is the smallest.

479 and 487 have an LCM of 233273.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 479 and 487, than apply into the LCM equation.

GCF(479,487) = 1
LCM(479,487) = ( 479 × 487) / 1
LCM(479,487) = 233273 / 1
LCM(479,487) = 233273

1. What is the LCM of 479 and 487?

The LCM of 479 and 487 is 233273.

2. How to find the lowest common multiple of 479 and 487?

To find the lowest common multiple of 479 and 487, we have to get the multip;es of both numbers and identify the least common multiple in them which is 233273.

3. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

4. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

Answer:

Least Common Multiple of 479 and 487 = 233273

Step 1: Find the prime factorization of 479

479 = 479

Step 2: Find the prime factorization of 487

487 = 487

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

LCM = 233273 = 479 x 487

Step 4: Therefore, the least common multiple of 479 and 487 is 233273.