Given numbers are 351,873,864,404,315

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

The LCM of 351,873,864,404,315 is 3851396640.

Find LCM of 351,873,864,404,315 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 97 x 8 x 101 x 35 = 3851396640

Therefore, the lowest common multiple of 351,873,864,404,315 is 3851396640.

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.

351 x 873 x 864 x 404 x 315 = 33692017806720

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

873 : 1, 3, 9, 97, 291, 873

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

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 351,873,864,404,315, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

873:3x 3x 97

864:2x 2x 2x 2x 2x 3x 3x 3

404:2x 2x 101

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 2x 3x 3x 3x 3x 3x 3x 3 = 8748

Therefore, the value for common factors is 8748.

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 = 33692017806720/(1x8748)

LCM = 33692017806720/8748

LCM = 3851396640

Thus, we can understand that the LCM of 351,873,864,404,315 is 3851396640.

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

• LCM of 858, 581, 980, 690, 622
• LCM of 285, 441, 367, 424, 130
• LCM of 628, 672, 465, 253, 370
• LCM of 640, 395, 777, 573, 703
• LCM of 868, 469, 844, 747, 174

1. What is the LCM of 351, 873, 864, 404, 315?

Answer: LCM of 351, 873, 864, 404, 315 is 3851396640.

2. How to calculate the LCM of 351, 873, 864, 404, 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 351, 873, 864, 404, 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}.