Given Numbers are 452, 458

We can find the LCM of 452, 458 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 452 and 458

Multiples of 452 =452,904,1356,1808,2260,2712,3164,3616,4068,4520,4972,5424,5876,6328,6780,7232,7684,

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 452, 458 which is 103508

So, the LCM of 452, 458 is 103508.

One method for determining the LCM of 452 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 452's prime factorization:

Prime factors of 452 are 2,113.

452 = 2²×113¹

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: 2,113,229

2²×113¹×229¹ = 103508

This shows that the LCM of 452 and 458 is 103508.

The first step in determining the Least Common Multiple of 452 and 458 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 452 and 458:

Lets look at the first ten multiples of these numbers, 452 and 458:

452,904,1356,1808,2260,2712,3164,3616,4068,7684 are the first ten multiples of 452.

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 452 and 458, for example, are 5424, 7684, and 7328. 103508 is the least common multiple since it is the smallest.

452 and 458 have an LCM of 103508.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 452 and 458, than apply into the LCM equation.

GCF(452,458) = 2
LCM(452,458) = ( 452 × 458) / 2
LCM(452,458) = 207016 / 2
LCM(452,458) = 103508

1. What is the LCM of 452 and 458?

The LCM of 452 and 458 is 103508.

2. How to find the lowest common multiple of 452 and 458?

To find the lowest common multiple of 452 and 458, we have to get the multip;es of both numbers and identify the least common multiple in them which is 103508.

3. What are the Factors of 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

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 452 and 458 = 103508

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

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 = 103508 = 2 x 2 x 113 x 229

Step 4: Therefore, the least common multiple of 452 and 458 is 103508.