Given numbers are 585,260,481,901,720

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

The LCM of 585,260,481,901,720 is 312034320.

Find LCM of 585,260,481,901,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 1 x 1 x 37 x 901 x 4 = 312034320

Therefore, the lowest common multiple of 585,260,481,901,720 is 312034320.

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 260 x 481 x 901 x 720 = 47460420072000

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

481 : 1, 13, 37, 481

901 : 1, 17, 53, 901

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,260,481,901,720, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

260:2x 2x 5x 13

481:13x 37

901:17x 53

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 5x 5x 13x 13 = 152100

Therefore, the value for common factors is 152100.

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 = 47460420072000/(1x152100)

LCM = 47460420072000/152100

LCM = 312034320

Thus, we can understand that the LCM of 585,260,481,901,720 is 312034320.

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

• LCM of 785, 140, 431, 103, 925
• LCM of 303, 176, 287, 793, 729
• LCM of 770, 971, 858, 191, 432
• LCM of 650, 637, 185, 610, 528
• LCM of 277, 622, 254, 520, 278

1. What is the LCM of 585, 260, 481, 901, 720?

Answer: LCM of 585, 260, 481, 901, 720 is 312034320.

2. How to calculate the LCM of 585, 260, 481, 901, 720?

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, 260, 481, 901, 720.

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}.