Given Numbers are 407, 411

We can find the LCM of 407, 411 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 407 and 411

Multiples of 407 =407,814,1221,1628,2035,2442,2849,3256,3663,4070,4477,4884,5291,5698,6105,6512,6919,

Multiples of 411 =411,822,1233,1644,2055,2466,2877,3288,3699,4110,4521,4932,5343,5754,6165,6576,6987,

Now, get the least common multiple of 407, 411 which is 167277

So, the LCM of 407, 411 is 167277.

One method for determining the LCM of 407 and 411 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 407's prime factorization:

Prime factors of 407 are 11,37.

407 = 11¹×37¹

And this is 411's prime factorization:

Prime factors of 411 are 3,137.

411 = 3¹×137¹

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: 11,37, 3,137

3¹×11¹×37¹×137¹ = 167277

This shows that the LCM of 407 and 411 is 167277.

The first step in determining the Least Common Multiple of 407 and 411 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 407 and 411:

Lets look at the first ten multiples of these numbers, 407 and 411:

407,814,1221,1628,2035,2442,2849,3256,3663,6919 are the first ten multiples of 407.

411,822,1233,1644,2055,2466,2877,3288,3699,6987 are the first ten multiples of 411.

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 407 and 411, for example, are 4884, 6919, and 6576. 167277 is the least common multiple since it is the smallest.

407 and 411 have an LCM of 167277.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 407 and 411, than apply into the LCM equation.

GCF(407,411) = 1
LCM(407,411) = ( 407 × 411) / 1
LCM(407,411) = 167277 / 1
LCM(407,411) = 167277

1. What is the LCM of 407 and 411?

The LCM of 407 and 411 is 167277.

2. How to find the lowest common multiple of 407 and 411?

To find the lowest common multiple of 407 and 411, we have to get the multip;es of both numbers and identify the least common multiple in them which is 167277.

3. What are the Factors of 407?

Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.

4. What are the Factors of 411?

Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.

Answer:

Least Common Multiple of 407 and 411 = 167277

Step 1: Find the prime factorization of 407

407 = 11 x 37

Step 2: Find the prime factorization of 411

411 = 3 x 137

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

LCM = 167277 = 3 x 11 x 37 x 137

Step 4: Therefore, the least common multiple of 407 and 411 is 167277.