Given numbers are 715,440,388,585,814

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

The LCM of 715,440,388,585,814 is 184761720.

Find LCM of 715,440,388,585,814 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 1 x 2 x 97 x 9 x 37 = 184761720

Therefore, the lowest common multiple of 715,440,388,585,814 is 184761720.

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.

715 x 440 x 388 x 585 x 814 = 58126037112000

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

388 : 1, 2, 4, 97, 194, 388

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,440,388,585,814, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

440:2x 2x 2x 5x 11

388:2x 2x 97

585:3x 3x 5x 13

814:2x 11x 37

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 5x 5x 11x 11x 13 = 314600

Therefore, the value for common factors is 314600.

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 = 58126037112000/(1x314600)

LCM = 58126037112000/314600

LCM = 184761720

Thus, we can understand that the LCM of 715,440,388,585,814 is 184761720.

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

• LCM of 982, 344, 287, 974, 141
• LCM of 639, 532, 725, 434, 354
• LCM of 888, 143, 508, 491, 719
• LCM of 972, 996, 218, 932, 780
• LCM of 429, 955, 147, 443, 205

1. What is the LCM of 715, 440, 388, 585, 814?

Answer: LCM of 715, 440, 388, 585, 814 is 184761720.

2. How to calculate the LCM of 715, 440, 388, 585, 814?

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 715, 440, 388, 585, 814.

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}.