Given numbers are 585,418,307,924,506

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

The LCM of 585,418,307,924,506 is 24172768620.

Find LCM of 585,418,307,924,506 with Prime Factorization

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

2 x 3 x 11 x 195 x 19 x 307 x 14 x 23 = 24172768620

Therefore, the lowest common multiple of 585,418,307,924,506 is 24172768620.

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 418 x 307 x 924 x 506 = 35098860036240

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

307 : 1, 307

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,418,307,924,506, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

418:2x 11x 19

307:307

924:2x 2x 3x 7x 11

506:2x 11x 23

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 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 35098860036240/(1x1452)

LCM = 35098860036240/1452

LCM = 24172768620

Thus, we can understand that the LCM of 585,418,307,924,506 is 24172768620.

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

• LCM of 315, 555, 471, 287, 164
• LCM of 481, 731, 420, 312, 104
• LCM of 926, 844, 341, 122, 530
• LCM of 314, 725, 891, 861, 896
• LCM of 998, 426, 468, 521, 445

1. What is the LCM of 585, 418, 307, 924, 506?

Answer: LCM of 585, 418, 307, 924, 506 is 24172768620.

2. How to calculate the LCM of 585, 418, 307, 924, 506?

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, 418, 307, 924, 506.

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}.