Given numbers are 585,485,864,968,935

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

The LCM of 585,485,864,968,935 is 11205548640.

Find LCM of 585,485,864,968,935 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 97 x 12 x 11 x 17 = 11205548640

Therefore, the lowest common multiple of 585,485,864,968,935 is 11205548640.

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.

585 x 485 x 864 x 968 x 935 = 221869863072000

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.

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

485 : 1, 5, 97, 485

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,485,864,968,935, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

485:5x 97

864:2x 2x 2x 2x 2x 3x 3x 3

968:2x 2x 2x 11x 11

935:5x 11x 17

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 3x 3x 5x 5x 11 = 19800

Therefore, the value for common factors is 19800.

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 = 221869863072000/(1x19800)

LCM = 221869863072000/19800

LCM = 11205548640

Thus, we can understand that the LCM of 585,485,864,968,935 is 11205548640.

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

• LCM of 897, 360, 241, 126, 721
• LCM of 232, 981, 519, 475, 969
• LCM of 511, 571, 211, 712, 141
• LCM of 777, 547, 795, 905, 885
• LCM of 114, 830, 328, 620, 295

1. What is the LCM of 585, 485, 864, 968, 935?

Answer: LCM of 585, 485, 864, 968, 935 is 11205548640.

2. How to calculate the LCM of 585, 485, 864, 968, 935?

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 585, 485, 864, 968, 935.

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}.