Given Numbers are 457, 464

We can find the LCM of 457, 464 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 457 and 464

Multiples of 457 =457,914,1371,1828,2285,2742,3199,3656,4113,4570,5027,5484,5941,6398,6855,7312,7769,

Multiples of 464 =464,928,1392,1856,2320,2784,3248,3712,4176,4640,5104,5568,6032,6496,6960,7424,7888,

Now, get the least common multiple of 457, 464 which is 212048

So, the LCM of 457, 464 is 212048.

One method for determining the LCM of 457 and 464 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 457's prime factorization:

Prime factors of 457 are 457.

457 = 457¹

And this is 464's prime factorization:

Prime factors of 464 are 2,29.

464 = 2⁴×29¹

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:457, 2,29

2⁴×29¹×457¹ = 212048

This shows that the LCM of 457 and 464 is 212048.

The first step in determining the Least Common Multiple of 457 and 464 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 457 and 464:

Lets look at the first ten multiples of these numbers, 457 and 464:

457,914,1371,1828,2285,2742,3199,3656,4113,7769 are the first ten multiples of 457.

464,928,1392,1856,2320,2784,3248,3712,4176,7888 are the first ten multiples of 464.

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 457 and 464, for example, are 5484, 7769, and 7424. 212048 is the least common multiple since it is the smallest.

457 and 464 have an LCM of 212048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 457 and 464, than apply into the LCM equation.

GCF(457,464) = 1
LCM(457,464) = ( 457 × 464) / 1
LCM(457,464) = 212048 / 1
LCM(457,464) = 212048

1. What is the LCM of 457 and 464?

The LCM of 457 and 464 is 212048.

2. How to find the lowest common multiple of 457 and 464?

To find the lowest common multiple of 457 and 464, we have to get the multip;es of both numbers and identify the least common multiple in them which is 212048.

3. What are the Factors of 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

4. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

Answer:

Least Common Multiple of 457 and 464 = 212048

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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

LCM = 212048 = 2 x 2 x 2 x 2 x 29 x 457

Step 4: Therefore, the least common multiple of 457 and 464 is 212048.