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LCM of 816, 489, 489, 717

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


Find the LCM of 816, 489, 489, 717 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 816, 489, 489, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,489,489,717

Given numbers are 816,489,489,717

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

The LCM of 816,489,489,717 is 31788912.

Find LCM of 816,489,489,717 with Prime Factorization


3 816, 489, 489, 717
163 272, 163, 163, 239
272, 1, 1, 239

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

3 x 163 x 272 x 1 x 1 x 239 = 31788912

Therefore, the lowest common multiple of 816,489,489,717 is 31788912.

LCM Formula to Find Lowest Common Multiple of 816,489,489,717

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.

816 x 489 x 489 x 717 = 139903001712

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

489 : 1, 3, 163, 489

489 : 1, 3, 163, 489

717 : 1, 3, 239, 717

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,489,489,717, is 3.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

489:3x 163

489:3x 163

717:3x 239

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

3x 3x 163 = 1467

Therefore, the value for common factors is 1467.

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 = 139903001712/(3x1467)

LCM = 139903001712/4401

LCM = 31788912

Thus, we can understand that the LCM of 816,489,489,717 is 31788912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 489, 489, 717

1. What is the LCM of 816, 489, 489, 717?

Answer: LCM of 816, 489, 489, 717 is 31788912.

2. How to calculate the LCM of 816, 489, 489, 717?

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 816, 489, 489, 717.

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}.