Given Numbers are 450, 455

We can find the LCM of 450, 455 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 450 and 455

Multiples of 450 =450,900,1350,1800,2250,2700,3150,3600,4050,4500,4950,5400,5850,6300,6750,7200,7650,

Multiples of 455 =455,910,1365,1820,2275,2730,3185,3640,4095,4550,5005,5460,5915,6370,6825,7280,7735,

Now, get the least common multiple of 450, 455 which is 40950

So, the LCM of 450, 455 is 40950.

One method for determining the LCM of 450 and 455 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 450's prime factorization:

Prime factors of 450 are 2, 3,5.

450 = 2¹×3²×5²

And this is 455's prime factorization:

Prime factors of 455 are 5, 7,13.

455 = 5¹×7¹×13¹

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, 3,5, 7,13

2¹×3²×5²×7¹×13¹ = 40950

This shows that the LCM of 450 and 455 is 40950.

The first step in determining the Least Common Multiple of 450 and 455 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 450 and 455:

Lets look at the first ten multiples of these numbers, 450 and 455:

450,900,1350,1800,2250,2700,3150,3600,4050,7650 are the first ten multiples of 450.

455,910,1365,1820,2275,2730,3185,3640,4095,7735 are the first ten multiples of 455.

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 450 and 455, for example, are 5400, 7650, and 7280. 40950 is the least common multiple since it is the smallest.

450 and 455 have an LCM of 40950.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 450 and 455, than apply into the LCM equation.

GCF(450,455) = 5
LCM(450,455) = ( 450 × 455) / 5
LCM(450,455) = 204750 / 5
LCM(450,455) = 40950

1. What is the LCM of 450 and 455?

The LCM of 450 and 455 is 40950.

2. How to find the lowest common multiple of 450 and 455?

To find the lowest common multiple of 450 and 455, we have to get the multip;es of both numbers and identify the least common multiple in them which is 40950.

3. What are the Factors of 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

4. What are the Factors of 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

Answer:

Least Common Multiple of 450 and 455 = 40950

Step 1: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 455

455 = 5 x 7 x 13

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

LCM = 40950 = 2 x 3 x 3 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 450 and 455 is 40950.