Given Numbers are 477, 485

We can find the LCM of 477, 485 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 477 and 485

Multiples of 477 =477,954,1431,1908,2385,2862,3339,3816,4293,4770,5247,5724,6201,6678,7155,7632,8109,

Multiples of 485 =485,970,1455,1940,2425,2910,3395,3880,4365,4850,5335,5820,6305,6790,7275,7760,8245,

Now, get the least common multiple of 477, 485 which is 231345

So, the LCM of 477, 485 is 231345.

One method for determining the LCM of 477 and 485 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 477's prime factorization:

Prime factors of 477 are 3,53.

477 = 3²×53¹

And this is 485's prime factorization:

Prime factors of 485 are 5,97.

485 = 5¹×97¹

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: 3,53, 5,97

3²×5¹×53¹×97¹ = 231345

This shows that the LCM of 477 and 485 is 231345.

The first step in determining the Least Common Multiple of 477 and 485 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 477 and 485:

Lets look at the first ten multiples of these numbers, 477 and 485:

477,954,1431,1908,2385,2862,3339,3816,4293,8109 are the first ten multiples of 477.

485,970,1455,1940,2425,2910,3395,3880,4365,8245 are the first ten multiples of 485.

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 477 and 485, for example, are 5724, 8109, and 7760. 231345 is the least common multiple since it is the smallest.

477 and 485 have an LCM of 231345.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 485, than apply into the LCM equation.

GCF(477,485) = 1
LCM(477,485) = ( 477 × 485) / 1
LCM(477,485) = 231345 / 1
LCM(477,485) = 231345

1. What is the LCM of 477 and 485?

The LCM of 477 and 485 is 231345.

2. How to find the lowest common multiple of 477 and 485?

To find the lowest common multiple of 477 and 485, we have to get the multip;es of both numbers and identify the least common multiple in them which is 231345.

3. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

4. What are the Factors of 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

Answer:

Least Common Multiple of 477 and 485 = 231345

Step 1: Find the prime factorization of 477

477 = 3 x 3 x 53

Step 2: Find the prime factorization of 485

485 = 5 x 97

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

LCM = 231345 = 3 x 3 x 5 x 53 x 97

Step 4: Therefore, the least common multiple of 477 and 485 is 231345.