Given Numbers are 475, 483

We can find the LCM of 475, 483 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 475 and 483

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

Multiples of 483 =483,966,1449,1932,2415,2898,3381,3864,4347,4830,5313,5796,6279,6762,7245,7728,8211,

Now, get the least common multiple of 475, 483 which is 229425

So, the LCM of 475, 483 is 229425.

One method for determining the LCM of 475 and 483 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 483's prime factorization:

Prime factors of 483 are 3, 7,23.

483 = 3¹×7¹×23¹

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, 3, 7,23

3¹×5²×7¹×19¹×23¹ = 229425

This shows that the LCM of 475 and 483 is 229425.

The first step in determining the Least Common Multiple of 475 and 483 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 475 and 483:

Lets look at the first ten multiples of these numbers, 475 and 483:

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

483,966,1449,1932,2415,2898,3381,3864,4347,8211 are the first ten multiples of 483.

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 483, for example, are 5700, 8075, and 7728. 229425 is the least common multiple since it is the smallest.

475 and 483 have an LCM of 229425.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 475 and 483, than apply into the LCM equation.

GCF(475,483) = 1
LCM(475,483) = ( 475 × 483) / 1
LCM(475,483) = 229425 / 1
LCM(475,483) = 229425

1. What is the LCM of 475 and 483?

The LCM of 475 and 483 is 229425.

2. How to find the lowest common multiple of 475 and 483?

To find the lowest common multiple of 475 and 483, we have to get the multip;es of both numbers and identify the least common multiple in them which is 229425.

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 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

Answer:

Least Common Multiple of 475 and 483 = 229425

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 483

483 = 3 x 7 x 23

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

LCM = 229425 = 3 x 5 x 5 x 7 x 19 x 23

Step 4: Therefore, the least common multiple of 475 and 483 is 229425.