Given numbers are 321,840,808,348,272

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

The LCM of 321,840,808,348,272 is 8950789680.

Find LCM of 321,840,808,348,272 with Prime Factorization

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

2 x 2 x 2 x 3 x 107 x 35 x 101 x 29 x 34 = 8950789680

Therefore, the lowest common multiple of 321,840,808,348,272 is 8950789680.

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.

321 x 840 x 808 x 348 x 272 = 20622619422720

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.

321 : 1, 3, 107, 321

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,840,808,348,272, is 1.

Now, the common factors can be found like this.

321:3x 107

840:2x 2x 2x 3x 5x 7

808:2x 2x 2x 101

348:2x 2x 3x 29

272:2x 2x 2x 2x 17

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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 20622619422720/(1x2304)

LCM = 20622619422720/2304

LCM = 8950789680

Thus, we can understand that the LCM of 321,840,808,348,272 is 8950789680.

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

• LCM of 324, 680, 346, 766, 775
• LCM of 295, 823, 944, 397, 582
• LCM of 152, 581, 333, 528, 251
• LCM of 558, 997, 340, 246, 345
• LCM of 901, 981, 728, 869, 420

1. What is the LCM of 321, 840, 808, 348, 272?

Answer: LCM of 321, 840, 808, 348, 272 is 8950789680.

2. How to calculate the LCM of 321, 840, 808, 348, 272?

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 321, 840, 808, 348, 272.

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}.