Given Numbers are 455, 461

We can find the LCM of 455, 461 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 455 and 461

Multiples of 455 =455,910,1365,1820,2275,2730,3185,3640,4095,4550,5005,5460,5915,6370,6825,7280,7735,

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 455, 461 which is 209755

So, the LCM of 455, 461 is 209755.

One method for determining the LCM of 455 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 455's prime factorization:

Prime factors of 455 are 5, 7,13.

455 = 5¹×7¹×13¹

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: 5, 7,13,461

5¹×7¹×13¹×461¹ = 209755

This shows that the LCM of 455 and 461 is 209755.

The first step in determining the Least Common Multiple of 455 and 461 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 455 and 461:

Lets look at the first ten multiples of these numbers, 455 and 461:

455,910,1365,1820,2275,2730,3185,3640,4095,7735 are the first ten multiples of 455.

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 455 and 461, for example, are 5460, 7735, and 7376. 209755 is the least common multiple since it is the smallest.

455 and 461 have an LCM of 209755.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 461, than apply into the LCM equation.

GCF(455,461) = 1
LCM(455,461) = ( 455 × 461) / 1
LCM(455,461) = 209755 / 1
LCM(455,461) = 209755

1. What is the LCM of 455 and 461?

The LCM of 455 and 461 is 209755.

2. How to find the lowest common multiple of 455 and 461?

To find the lowest common multiple of 455 and 461, we have to get the multip;es of both numbers and identify the least common multiple in them which is 209755.

3. What are the Factors of 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

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 455 and 461 = 209755

Step 1: Find the prime factorization of 455

455 = 5 x 7 x 13

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 = 209755 = 5 x 7 x 13 x 461

Step 4: Therefore, the least common multiple of 455 and 461 is 209755.