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LCM of 4017, 9217

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 4017, 9217 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 4017, 9217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4017,9217

Given numbers are 4017,9217

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 4017,9217 is 2848053.

Find LCM of 4017,9217 with Prime Factorization


13 4017, 9217
309, 709

Multiply the prime numbers at the bottom and the left side.

13 x 309 x 709 = 2848053

Therefore, the lowest common multiple of 4017,9217 is 2848053.

LCM Formula to Find Lowest Common Multiple of 4017,9217

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

4017 x 9217 = 37024689

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

4017 : 1, 3, 13, 39, 103, 309, 1339, 4017

9217 : 1, 13, 709, 9217

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4017,9217, is 13.

Now, the common factors can be found like this.

4017:3x 13x 103

9217:13x 709

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 37024689/(13x1)

LCM = 37024689/13

LCM = 2848053

Thus, we can understand that the LCM of 4017,9217 is 2848053.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4017, 9217

1. What is the LCM of 4017, 9217?

Answer: LCM of 4017, 9217 is 2848053.

2. How to calculate the LCM of 4017, 9217?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 4017, 9217.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.