Given numbers are 557,990,648,585,315

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

The LCM of 557,990,648,585,315 is 1806484680.

Find LCM of 557,990,648,585,315 with Prime Factorization

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

2 x 3 x 3 x 5 x 557 x 11 x 36 x 13 x 7 = 1806484680

Therefore, the lowest common multiple of 557,990,648,585,315 is 1806484680.

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.

557 x 990 x 648 x 585 x 315 = 65846366586000

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.

557 : 1, 557

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,990,648,585,315, is 1.

Now, the common factors can be found like this.

557:557

990:2x 3x 3x 5x 11

648:2x 2x 2x 3x 3x 3x 3

585:3x 3x 5x 13

315:3x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3x 3x 5x 5 = 36450

Therefore, the value for common factors is 36450.

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 = 65846366586000/(1x36450)

LCM = 65846366586000/36450

LCM = 1806484680

Thus, we can understand that the LCM of 557,990,648,585,315 is 1806484680.

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

• LCM of 981, 116, 632, 240, 617
• LCM of 652, 284, 858, 371, 104
• LCM of 496, 627, 548, 220, 713
• LCM of 149, 369, 867, 900, 111
• LCM of 784, 783, 142, 353, 778

1. What is the LCM of 557, 990, 648, 585, 315?

Answer: LCM of 557, 990, 648, 585, 315 is 1806484680.

2. How to calculate the LCM of 557, 990, 648, 585, 315?

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 557, 990, 648, 585, 315.

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}.