Given Numbers are 453, 458

We can find the LCM of 453, 458 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 453 and 458

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

Multiples of 458 =458,916,1374,1832,2290,2748,3206,3664,4122,4580,5038,5496,5954,6412,6870,7328,7786,

Now, get the least common multiple of 453, 458 which is 207474

So, the LCM of 453, 458 is 207474.

One method for determining the LCM of 453 and 458 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 453's prime factorization:

Prime factors of 453 are 3,151.

453 = 3¹×151¹

And this is 458's prime factorization:

Prime factors of 458 are 2,229.

458 = 2¹×229¹

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: 3,151, 2,229

2¹×3¹×151¹×229¹ = 207474

This shows that the LCM of 453 and 458 is 207474.

The first step in determining the Least Common Multiple of 453 and 458 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 453 and 458:

Lets look at the first ten multiples of these numbers, 453 and 458:

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

458,916,1374,1832,2290,2748,3206,3664,4122,7786 are the first ten multiples of 458.

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 453 and 458, for example, are 5436, 7701, and 7328. 207474 is the least common multiple since it is the smallest.

453 and 458 have an LCM of 207474.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 453 and 458, than apply into the LCM equation.

GCF(453,458) = 1
LCM(453,458) = ( 453 × 458) / 1
LCM(453,458) = 207474 / 1
LCM(453,458) = 207474

1. What is the LCM of 453 and 458?

The LCM of 453 and 458 is 207474.

2. How to find the lowest common multiple of 453 and 458?

To find the lowest common multiple of 453 and 458, we have to get the multip;es of both numbers and identify the least common multiple in them which is 207474.

3. 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.

4. What are the Factors of 458?

Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.

Answer:

Least Common Multiple of 453 and 458 = 207474

Step 1: Find the prime factorization of 453

453 = 3 x 151

Step 2: Find the prime factorization of 458

458 = 2 x 229

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

LCM = 207474 = 2 x 3 x 151 x 229

Step 4: Therefore, the least common multiple of 453 and 458 is 207474.