Given Numbers are 446, 453

We can find the LCM of 446, 453 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 446 and 453

Multiples of 446 =446,892,1338,1784,2230,2676,3122,3568,4014,4460,4906,5352,5798,6244,6690,7136,7582,

Multiples of 453 =453,906,1359,1812,2265,2718,3171,3624,4077,4530,4983,5436,5889,6342,6795,7248,7701,

Now, get the least common multiple of 446, 453 which is 202038

So, the LCM of 446, 453 is 202038.

One method for determining the LCM of 446 and 453 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 446's prime factorization:

Prime factors of 446 are 2,223.

446 = 2¹×223¹

And this is 453's prime factorization:

Prime factors of 453 are 3,151.

453 = 3¹×151¹

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: 2,223, 3,151

2¹×3¹×151¹×223¹ = 202038

This shows that the LCM of 446 and 453 is 202038.

The first step in determining the Least Common Multiple of 446 and 453 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 446 and 453:

Lets look at the first ten multiples of these numbers, 446 and 453:

446,892,1338,1784,2230,2676,3122,3568,4014,7582 are the first ten multiples of 446.

453,906,1359,1812,2265,2718,3171,3624,4077,7701 are the first ten multiples of 453.

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 446 and 453, for example, are 5352, 7582, and 7248. 202038 is the least common multiple since it is the smallest.

446 and 453 have an LCM of 202038.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 446 and 453, than apply into the LCM equation.

GCF(446,453) = 1
LCM(446,453) = ( 446 × 453) / 1
LCM(446,453) = 202038 / 1
LCM(446,453) = 202038

1. What is the LCM of 446 and 453?

The LCM of 446 and 453 is 202038.

2. How to find the lowest common multiple of 446 and 453?

To find the lowest common multiple of 446 and 453, we have to get the multip;es of both numbers and identify the least common multiple in them which is 202038.

3. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

4. What are the Factors of 453?

Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.

Answer:

Least Common Multiple of 446 and 453 = 202038

Step 1: Find the prime factorization of 446

446 = 2 x 223

Step 2: Find the prime factorization of 453

453 = 3 x 151

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

LCM = 202038 = 2 x 3 x 151 x 223

Step 4: Therefore, the least common multiple of 446 and 453 is 202038.