Given numbers are 520,460,920,585

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

The LCM of 520,460,920,585 is 107640.

Find LCM of 520,460,920,585 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 23 x 1 x 1 x 1 x 9 = 107640

Therefore, the lowest common multiple of 520,460,920,585 is 107640.

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.

520 x 460 x 920 x 585 = 128737440000

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,460,920,585, is 5.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

460:2x 2x 5x 23

920:2x 2x 2x 5x 23

585:3x 3x 5x 13

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 2x 5x 5x 13x 23 = 239200

Therefore, the value for common factors is 239200.

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 = 128737440000/(5x239200)

LCM = 128737440000/1196000

LCM = 107640

Thus, we can understand that the LCM of 520,460,920,585 is 107640.

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

• LCM of 832, 700, 583, 398
• LCM of 381, 632, 286, 377
• LCM of 207, 624, 826, 844
• LCM of 130, 483, 931, 702
• LCM of 745, 896, 549, 586

1. What is the LCM of 520, 460, 920, 585?

Answer: LCM of 520, 460, 920, 585 is 107640.

2. How to calculate the LCM of 520, 460, 920, 585?

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 520, 460, 920, 585.

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}.