Given Numbers are 457, 461

We can find the LCM of 457, 461 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 457 and 461

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

Multiples of 461 =461,922,1383,1844,2305,2766,3227,3688,4149,4610,5071,5532,5993,6454,6915,7376,7837,

Now, get the least common multiple of 457, 461 which is 210677

So, the LCM of 457, 461 is 210677.

One method for determining the LCM of 457 and 461 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 461's prime factorization:

Prime factors of 461 are 461.

461 = 461¹

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:457,461

457¹×461¹ = 210677

This shows that the LCM of 457 and 461 is 210677.

The first step in determining the Least Common Multiple of 457 and 461 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 457 and 461:

Lets look at the first ten multiples of these numbers, 457 and 461:

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

461,922,1383,1844,2305,2766,3227,3688,4149,7837 are the first ten multiples of 461.

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 461, for example, are 5484, 7769, and 7376. 210677 is the least common multiple since it is the smallest.

457 and 461 have an LCM of 210677.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 457 and 461, than apply into the LCM equation.

GCF(457,461) = 1
LCM(457,461) = ( 457 × 461) / 1
LCM(457,461) = 210677 / 1
LCM(457,461) = 210677

1. What is the LCM of 457 and 461?

The LCM of 457 and 461 is 210677.

2. How to find the lowest common multiple of 457 and 461?

To find the lowest common multiple of 457 and 461, we have to get the multip;es of both numbers and identify the least common multiple in them which is 210677.

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 461?

Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.

Answer:

Least Common Multiple of 457 and 461 = 210677

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 461

461 = 461

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

LCM = 210677 = 457 x 461

Step 4: Therefore, the least common multiple of 457 and 461 is 210677.