Given numbers are 585,391,192,489,273

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

The LCM of 585,391,192,489,273 is 16703144640.

Find LCM of 585,391,192,489,273 with Prime Factorization

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

3 x 13 x 15 x 391 x 64 x 163 x 7 = 16703144640

Therefore, the lowest common multiple of 585,391,192,489,273 is 16703144640.

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 391 x 192 x 489 x 273 = 5862803768640

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

391 : 1, 17, 23, 391

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

489 : 1, 3, 163, 489

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,391,192,489,273, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

391:17x 23

192:2x 2x 2x 2x 2x 2x 3

489:3x 163

273:3x 7x 13

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

3x 3x 3x 13 = 351

Therefore, the value for common factors is 351.

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 = 5862803768640/(1x351)

LCM = 5862803768640/351

LCM = 16703144640

Thus, we can understand that the LCM of 585,391,192,489,273 is 16703144640.

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

• LCM of 268, 380, 142, 647, 698
• LCM of 602, 681, 947, 154, 278
• LCM of 640, 410, 634, 290, 188
• LCM of 131, 937, 621, 466, 790
• LCM of 171, 719, 240, 427, 493

1. What is the LCM of 585, 391, 192, 489, 273?

Answer: LCM of 585, 391, 192, 489, 273 is 16703144640.

2. How to calculate the LCM of 585, 391, 192, 489, 273?

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, 391, 192, 489, 273.

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}.