Given Numbers are 452, 456

We can find the LCM of 452, 456 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 452 and 456

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

Multiples of 456 =456,912,1368,1824,2280,2736,3192,3648,4104,4560,5016,5472,5928,6384,6840,7296,7752,

Now, get the least common multiple of 452, 456 which is 51528

So, the LCM of 452, 456 is 51528.

One method for determining the LCM of 452 and 456 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 456's prime factorization:

Prime factors of 456 are 2, 3,19.

456 = 2³×3¹×19¹

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, 3,19

2³×3¹×19¹×113¹ = 51528

This shows that the LCM of 452 and 456 is 51528.

The first step in determining the Least Common Multiple of 452 and 456 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 452 and 456:

Lets look at the first ten multiples of these numbers, 452 and 456:

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

456,912,1368,1824,2280,2736,3192,3648,4104,7752 are the first ten multiples of 456.

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 456, for example, are 5424, 7684, and 7296. 51528 is the least common multiple since it is the smallest.

452 and 456 have an LCM of 51528.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 452 and 456, than apply into the LCM equation.

GCF(452,456) = 4
LCM(452,456) = ( 452 × 456) / 4
LCM(452,456) = 206112 / 4
LCM(452,456) = 51528

1. What is the LCM of 452 and 456?

The LCM of 452 and 456 is 51528.

2. How to find the lowest common multiple of 452 and 456?

To find the lowest common multiple of 452 and 456, we have to get the multip;es of both numbers and identify the least common multiple in them which is 51528.

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 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

Answer:

Least Common Multiple of 452 and 456 = 51528

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

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

LCM = 51528 = 2 x 2 x 2 x 3 x 19 x 113

Step 4: Therefore, the least common multiple of 452 and 456 is 51528.