Given Numbers are 453, 460

We can find the LCM of 453, 460 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 453 and 460

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

Multiples of 460 =460,920,1380,1840,2300,2760,3220,3680,4140,4600,5060,5520,5980,6440,6900,7360,7820,

Now, get the least common multiple of 453, 460 which is 208380

So, the LCM of 453, 460 is 208380.

One method for determining the LCM of 453 and 460 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 460's prime factorization:

Prime factors of 460 are 2, 5,23.

460 = 2²×5¹×23¹

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, 5,23

2²×3¹×5¹×23¹×151¹ = 208380

This shows that the LCM of 453 and 460 is 208380.

The first step in determining the Least Common Multiple of 453 and 460 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 453 and 460:

Lets look at the first ten multiples of these numbers, 453 and 460:

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

460,920,1380,1840,2300,2760,3220,3680,4140,7820 are the first ten multiples of 460.

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 460, for example, are 5436, 7701, and 7360. 208380 is the least common multiple since it is the smallest.

453 and 460 have an LCM of 208380.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 453 and 460, than apply into the LCM equation.

GCF(453,460) = 1
LCM(453,460) = ( 453 × 460) / 1
LCM(453,460) = 208380 / 1
LCM(453,460) = 208380

1. What is the LCM of 453 and 460?

The LCM of 453 and 460 is 208380.

2. How to find the lowest common multiple of 453 and 460?

To find the lowest common multiple of 453 and 460, we have to get the multip;es of both numbers and identify the least common multiple in them which is 208380.

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 460?

Answer: Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. There are 12 integers that are factors of 460. The greatest factor of 460 is 460.

Answer:

Least Common Multiple of 453 and 460 = 208380

Step 1: Find the prime factorization of 453

453 = 3 x 151

Step 2: Find the prime factorization of 460

460 = 2 x 2 x 5 x 23

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

LCM = 208380 = 2 x 2 x 3 x 5 x 23 x 151

Step 4: Therefore, the least common multiple of 453 and 460 is 208380.