Given Numbers are 457, 463

We can find the LCM of 457, 463 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 457 and 463

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

Multiples of 463 =463,926,1389,1852,2315,2778,3241,3704,4167,4630,5093,5556,6019,6482,6945,7408,7871,

Now, get the least common multiple of 457, 463 which is 211591

So, the LCM of 457, 463 is 211591.

One method for determining the LCM of 457 and 463 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 463's prime factorization:

Prime factors of 463 are 463.

463 = 463¹

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:457,463

457¹×463¹ = 211591

This shows that the LCM of 457 and 463 is 211591.

The first step in determining the Least Common Multiple of 457 and 463 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 457 and 463:

Lets look at the first ten multiples of these numbers, 457 and 463:

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

463,926,1389,1852,2315,2778,3241,3704,4167,7871 are the first ten multiples of 463.

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 463, for example, are 5484, 7769, and 7408. 211591 is the least common multiple since it is the smallest.

457 and 463 have an LCM of 211591.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 457 and 463, than apply into the LCM equation.

GCF(457,463) = 1
LCM(457,463) = ( 457 × 463) / 1
LCM(457,463) = 211591 / 1
LCM(457,463) = 211591

1. What is the LCM of 457 and 463?

The LCM of 457 and 463 is 211591.

2. How to find the lowest common multiple of 457 and 463?

To find the lowest common multiple of 457 and 463, we have to get the multip;es of both numbers and identify the least common multiple in them which is 211591.

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 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

Answer:

Least Common Multiple of 457 and 463 = 211591

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 463

463 = 463

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

LCM = 211591 = 457 x 463

Step 4: Therefore, the least common multiple of 457 and 463 is 211591.