Given Numbers are 410, 417

We can find the LCM of 410, 417 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 410 and 417

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

Multiples of 417 =417,834,1251,1668,2085,2502,2919,3336,3753,4170,4587,5004,5421,5838,6255,6672,7089,

Now, get the least common multiple of 410, 417 which is 170970

So, the LCM of 410, 417 is 170970.

One method for determining the LCM of 410 and 417 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 417's prime factorization:

Prime factors of 417 are 3,139.

417 = 3¹×139¹

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, 3,139

2¹×3¹×5¹×41¹×139¹ = 170970

This shows that the LCM of 410 and 417 is 170970.

The first step in determining the Least Common Multiple of 410 and 417 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 410 and 417:

Lets look at the first ten multiples of these numbers, 410 and 417:

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

417,834,1251,1668,2085,2502,2919,3336,3753,7089 are the first ten multiples of 417.

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 417, for example, are 4920, 6970, and 6672. 170970 is the least common multiple since it is the smallest.

410 and 417 have an LCM of 170970.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 410 and 417, than apply into the LCM equation.

GCF(410,417) = 1
LCM(410,417) = ( 410 × 417) / 1
LCM(410,417) = 170970 / 1
LCM(410,417) = 170970

1. What is the LCM of 410 and 417?

The LCM of 410 and 417 is 170970.

2. How to find the lowest common multiple of 410 and 417?

To find the lowest common multiple of 410 and 417, we have to get the multip;es of both numbers and identify the least common multiple in them which is 170970.

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 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

Answer:

Least Common Multiple of 410 and 417 = 170970

Step 1: Find the prime factorization of 410

410 = 2 x 5 x 41

Step 2: Find the prime factorization of 417

417 = 3 x 139

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

LCM = 170970 = 2 x 3 x 5 x 41 x 139

Step 4: Therefore, the least common multiple of 410 and 417 is 170970.