Given Numbers are 410, 415

We can find the LCM of 410, 415 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 410 and 415

Multiples of 410 =410,820,1230,1640,2050,2460,2870,3280,3690,4100,4510,4920,5330,5740,6150,6560,6970,

Multiples of 415 =415,830,1245,1660,2075,2490,2905,3320,3735,4150,4565,4980,5395,5810,6225,6640,7055,

Now, get the least common multiple of 410, 415 which is 34030

So, the LCM of 410, 415 is 34030.

One method for determining the LCM of 410 and 415 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 410's prime factorization:

Prime factors of 410 are 2, 5,41.

410 = 2¹×5¹×41¹

And this is 415's prime factorization:

Prime factors of 415 are 5,83.

415 = 5¹×83¹

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, 5,41,83

2¹×5¹×41¹×83¹ = 34030

This shows that the LCM of 410 and 415 is 34030.

The first step in determining the Least Common Multiple of 410 and 415 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 410 and 415:

Lets look at the first ten multiples of these numbers, 410 and 415:

410,820,1230,1640,2050,2460,2870,3280,3690,6970 are the first ten multiples of 410.

415,830,1245,1660,2075,2490,2905,3320,3735,7055 are the first ten multiples of 415.

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 410 and 415, for example, are 4920, 6970, and 6640. 34030 is the least common multiple since it is the smallest.

410 and 415 have an LCM of 34030.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 410 and 415, than apply into the LCM equation.

GCF(410,415) = 5
LCM(410,415) = ( 410 × 415) / 5
LCM(410,415) = 170150 / 5
LCM(410,415) = 34030

1. What is the LCM of 410 and 415?

The LCM of 410 and 415 is 34030.

2. How to find the lowest common multiple of 410 and 415?

To find the lowest common multiple of 410 and 415, we have to get the multip;es of both numbers and identify the least common multiple in them which is 34030.

3. What are the Factors of 410?

Answer: Factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. There are 8 integers that are factors of 410. The greatest factor of 410 is 410.

4. What are the Factors of 415?

Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.

Answer:

Least Common Multiple of 410 and 415 = 34030

Step 1: Find the prime factorization of 410

410 = 2 x 5 x 41

Step 2: Find the prime factorization of 415

415 = 5 x 83

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

LCM = 34030 = 2 x 5 x 41 x 83

Step 4: Therefore, the least common multiple of 410 and 415 is 34030.