Given numbers are 380,207,522,285,808

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

The LCM of 380,207,522,285,808 is 460790280.

Find LCM of 380,207,522,285,808 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 19 x 1 x 23 x 29 x 1 x 202 = 460790280

Therefore, the lowest common multiple of 380,207,522,285,808 is 460790280.

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.

380 x 207 x 522 x 285 x 808 = 9455416545600

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

207 : 1, 3, 9, 23, 69, 207

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

285 : 1, 3, 5, 15, 19, 57, 95, 285

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,207,522,285,808, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

207:3x 3x 23

522:2x 3x 3x 29

285:3x 5x 19

808:2x 2x 2x 101

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 3x 5x 19 = 20520

Therefore, the value for common factors is 20520.

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 = 9455416545600/(1x20520)

LCM = 9455416545600/20520

LCM = 460790280

Thus, we can understand that the LCM of 380,207,522,285,808 is 460790280.

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

• LCM of 168, 860, 426, 104, 694
• LCM of 913, 350, 220, 819, 507
• LCM of 932, 130, 646, 384, 546
• LCM of 321, 220, 334, 185, 870
• LCM of 320, 360, 620, 714, 766

1. What is the LCM of 380, 207, 522, 285, 808?

Answer: LCM of 380, 207, 522, 285, 808 is 460790280.

2. How to calculate the LCM of 380, 207, 522, 285, 808?

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 380, 207, 522, 285, 808.

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}.