Given Numbers are 469, 475

We can find the LCM of 469, 475 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 469 and 475

Multiples of 469 =469,938,1407,1876,2345,2814,3283,3752,4221,4690,5159,5628,6097,6566,7035,7504,7973,

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 469, 475 which is 222775

So, the LCM of 469, 475 is 222775.

One method for determining the LCM of 469 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 469's prime factorization:

Prime factors of 469 are 7,67.

469 = 7¹×67¹

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: 7,67, 5,19

5²×7¹×19¹×67¹ = 222775

This shows that the LCM of 469 and 475 is 222775.

The first step in determining the Least Common Multiple of 469 and 475 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 469 and 475:

Lets look at the first ten multiples of these numbers, 469 and 475:

469,938,1407,1876,2345,2814,3283,3752,4221,7973 are the first ten multiples of 469.

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 469 and 475, for example, are 5628, 7973, and 7600. 222775 is the least common multiple since it is the smallest.

469 and 475 have an LCM of 222775.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 469 and 475, than apply into the LCM equation.

GCF(469,475) = 1
LCM(469,475) = ( 469 × 475) / 1
LCM(469,475) = 222775 / 1
LCM(469,475) = 222775

1. What is the LCM of 469 and 475?

The LCM of 469 and 475 is 222775.

2. How to find the lowest common multiple of 469 and 475?

To find the lowest common multiple of 469 and 475, we have to get the multip;es of both numbers and identify the least common multiple in them which is 222775.

3. What are the Factors of 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

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 469 and 475 = 222775

Step 1: Find the prime factorization of 469

469 = 7 x 67

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 = 222775 = 5 x 5 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 469 and 475 is 222775.