Given Numbers are 470, 475

We can find the LCM of 470, 475 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 470 and 475

Multiples of 470 =470,940,1410,1880,2350,2820,3290,3760,4230,4700,5170,5640,6110,6580,7050,7520,7990,

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 470, 475 which is 44650

So, the LCM of 470, 475 is 44650.

One method for determining the LCM of 470 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 470's prime factorization:

Prime factors of 470 are 2, 5,47.

470 = 2¹×5¹×47¹

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: 2, 5,47,19

2¹×5²×19¹×47¹ = 44650

This shows that the LCM of 470 and 475 is 44650.

The first step in determining the Least Common Multiple of 470 and 475 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 470 and 475:

Lets look at the first ten multiples of these numbers, 470 and 475:

470,940,1410,1880,2350,2820,3290,3760,4230,7990 are the first ten multiples of 470.

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 470 and 475, for example, are 5640, 7990, and 7600. 44650 is the least common multiple since it is the smallest.

470 and 475 have an LCM of 44650.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 470 and 475, than apply into the LCM equation.

GCF(470,475) = 5
LCM(470,475) = ( 470 × 475) / 5
LCM(470,475) = 223250 / 5
LCM(470,475) = 44650

1. What is the LCM of 470 and 475?

The LCM of 470 and 475 is 44650.

2. How to find the lowest common multiple of 470 and 475?

To find the lowest common multiple of 470 and 475, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44650.

3. What are the Factors of 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

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 470 and 475 = 44650

Step 1: Find the prime factorization of 470

470 = 2 x 5 x 47

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 = 44650 = 2 x 5 x 5 x 19 x 47

Step 4: Therefore, the least common multiple of 470 and 475 is 44650.