Given numbers are 717,660,822,414,864

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

The LCM of 717,660,822,414,864 is 35786789280.

Find LCM of 717,660,822,414,864 with Prime Factorization

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

2 x 2 x 3 x 3 x 239 x 55 x 137 x 23 x 24 = 35786789280

Therefore, the lowest common multiple of 717,660,822,414,864 is 35786789280.

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 660 x 822 x 414 x 864 = 139139036720640

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

822 : 1, 2, 3, 6, 137, 274, 411, 822

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,660,822,414,864, is 3.

Now, the common factors can be found like this.

717:3x 239

660:2x 2x 3x 5x 11

822:2x 3x 137

414:2x 3x 3x 23

864:2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 139139036720640/(3x1296)

LCM = 139139036720640/3888

LCM = 35786789280

Thus, we can understand that the LCM of 717,660,822,414,864 is 35786789280.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 704, 149, 940, 453, 965
• LCM of 855, 935, 719, 387, 550
• LCM of 848, 423, 743, 907, 849
• LCM of 882, 587, 403, 675, 184
• LCM of 199, 149, 673, 628, 650

1. What is the LCM of 717, 660, 822, 414, 864?

Answer: LCM of 717, 660, 822, 414, 864 is 35786789280.

2. How to calculate the LCM of 717, 660, 822, 414, 864?

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, 660, 822, 414, 864.

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}.