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LCM of 717, 793, 663, 412, 486

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


Find the LCM of 717, 793, 663, 412, 486 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 717, 793, 663, 412, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,793,663,412,486

Given numbers are 717,793,663,412,486

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

The LCM of 717,793,663,412,486 is 322569647244.

Find LCM of 717,793,663,412,486 with Prime Factorization


2 717, 793, 663, 412, 486
3 717, 793, 663, 206, 243
13 239, 793, 221, 206, 81
239, 61, 17, 206, 81

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

2 x 3 x 13 x 239 x 61 x 17 x 206 x 81 = 322569647244

Therefore, the lowest common multiple of 717,793,663,412,486 is 322569647244.

LCM Formula to Find Lowest Common Multiple of 717,793,663,412,486

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.

717 x 793 x 663 x 412 x 486 = 75481297455096

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.

717 : 1, 3, 239, 717

793 : 1, 13, 61, 793

663 : 1, 3, 13, 17, 39, 51, 221, 663

412 : 1, 2, 4, 103, 206, 412

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,793,663,412,486, is 1.

Now, the common factors can be found like this.

717:3x 239

793:13x 61

663:3x 13x 17

412:2x 2x 103

486:2x 3x 3x 3x 3x 3

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 75481297455096/(1x234)

LCM = 75481297455096/234

LCM = 322569647244

Thus, we can understand that the LCM of 717,793,663,412,486 is 322569647244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 793, 663, 412, 486

1. What is the LCM of 717, 793, 663, 412, 486?

Answer: LCM of 717, 793, 663, 412, 486 is 322569647244.

2. How to calculate the LCM of 717, 793, 663, 412, 486?

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 717, 793, 663, 412, 486.

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}.