Given Numbers are 446, 451

We can find the LCM of 446, 451 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 446 and 451

Multiples of 446 =446,892,1338,1784,2230,2676,3122,3568,4014,4460,4906,5352,5798,6244,6690,7136,7582,

Multiples of 451 =451,902,1353,1804,2255,2706,3157,3608,4059,4510,4961,5412,5863,6314,6765,7216,7667,

Now, get the least common multiple of 446, 451 which is 201146

So, the LCM of 446, 451 is 201146.

One method for determining the LCM of 446 and 451 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 446's prime factorization:

Prime factors of 446 are 2,223.

446 = 2¹×223¹

And this is 451's prime factorization:

Prime factors of 451 are 11,41.

451 = 11¹×41¹

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: 2,223, 11,41

2¹×11¹×41¹×223¹ = 201146

This shows that the LCM of 446 and 451 is 201146.

The first step in determining the Least Common Multiple of 446 and 451 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 446 and 451:

Lets look at the first ten multiples of these numbers, 446 and 451:

446,892,1338,1784,2230,2676,3122,3568,4014,7582 are the first ten multiples of 446.

451,902,1353,1804,2255,2706,3157,3608,4059,7667 are the first ten multiples of 451.

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 446 and 451, for example, are 5352, 7582, and 7216. 201146 is the least common multiple since it is the smallest.

446 and 451 have an LCM of 201146.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 446 and 451, than apply into the LCM equation.

GCF(446,451) = 1
LCM(446,451) = ( 446 × 451) / 1
LCM(446,451) = 201146 / 1
LCM(446,451) = 201146

1. What is the LCM of 446 and 451?

The LCM of 446 and 451 is 201146.

2. How to find the lowest common multiple of 446 and 451?

To find the lowest common multiple of 446 and 451, we have to get the multip;es of both numbers and identify the least common multiple in them which is 201146.

3. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

4. What are the Factors of 451?

Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.

Answer:

Least Common Multiple of 446 and 451 = 201146

Step 1: Find the prime factorization of 446

446 = 2 x 223

Step 2: Find the prime factorization of 451

451 = 11 x 41

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

LCM = 201146 = 2 x 11 x 41 x 223

Step 4: Therefore, the least common multiple of 446 and 451 is 201146.