Given numbers are 317,642,288,506,395

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

The LCM of 317,642,288,506,395 is 976232236320.

Find LCM of 317,642,288,506,395 with Prime Factorization

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

2 x 3 x 317 x 107 x 48 x 253 x 395 = 976232236320

Therefore, the lowest common multiple of 317,642,288,506,395 is 976232236320.

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.

317 x 642 x 288 x 506 x 395 = 11714786835840

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.

317 : 1, 317

642 : 1, 2, 3, 6, 107, 214, 321, 642

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,642,288,506,395, is 1.

Now, the common factors can be found like this.

317:317

642:2x 3x 107

288:2x 2x 2x 2x 2x 3x 3

506:2x 11x 23

395:5x 79

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11714786835840/(1x12)

LCM = 11714786835840/12

LCM = 976232236320

Thus, we can understand that the LCM of 317,642,288,506,395 is 976232236320.

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

• LCM of 890, 165, 974, 154, 287
• LCM of 432, 175, 989, 149, 350
• LCM of 895, 500, 431, 868, 650
• LCM of 860, 403, 809, 240, 125
• LCM of 252, 790, 388, 139, 575

1. What is the LCM of 317, 642, 288, 506, 395?

Answer: LCM of 317, 642, 288, 506, 395 is 976232236320.

2. How to calculate the LCM of 317, 642, 288, 506, 395?

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 317, 642, 288, 506, 395.

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}.