Given Numbers are 475, 479

We can find the LCM of 475, 479 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 475 and 479

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

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

Now, get the least common multiple of 475, 479 which is 227525

So, the LCM of 475, 479 is 227525.

One method for determining the LCM of 475 and 479 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 475's prime factorization:

Prime factors of 475 are 5,19.

475 = 5²×19¹

And this is 479's prime factorization:

Prime factors of 479 are 479.

479 = 479¹

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: 5,19,479

5²×19¹×479¹ = 227525

This shows that the LCM of 475 and 479 is 227525.

The first step in determining the Least Common Multiple of 475 and 479 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 475 and 479:

Lets look at the first ten multiples of these numbers, 475 and 479:

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

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

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 475 and 479, for example, are 5700, 8075, and 7664. 227525 is the least common multiple since it is the smallest.

475 and 479 have an LCM of 227525.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 475 and 479, than apply into the LCM equation.

GCF(475,479) = 1
LCM(475,479) = ( 475 × 479) / 1
LCM(475,479) = 227525 / 1
LCM(475,479) = 227525

1. What is the LCM of 475 and 479?

The LCM of 475 and 479 is 227525.

2. How to find the lowest common multiple of 475 and 479?

To find the lowest common multiple of 475 and 479, we have to get the multip;es of both numbers and identify the least common multiple in them which is 227525.

3. 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.

4. 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.

Answer:

Least Common Multiple of 475 and 479 = 227525

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 479

479 = 479

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

LCM = 227525 = 5 x 5 x 19 x 479

Step 4: Therefore, the least common multiple of 475 and 479 is 227525.