Given numbers are 304,702,311,879,966

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

The LCM of 304,702,311,879,966 is 1565433363312.

Find LCM of 304,702,311,879,966 with Prime Factorization

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

2 x 3 x 152 x 117 x 311 x 293 x 161 = 1565433363312

Therefore, the lowest common multiple of 304,702,311,879,966 is 1565433363312.

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.

304 x 702 x 311 x 879 x 966 = 56355601079232

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

311 : 1, 311

879 : 1, 3, 293, 879

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,702,311,879,966, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

702:2x 3x 3x 3x 13

311:311

879:3x 293

966:2x 3x 7x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 56355601079232/(1x36)

LCM = 56355601079232/36

LCM = 1565433363312

Thus, we can understand that the LCM of 304,702,311,879,966 is 1565433363312.

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

• LCM of 768, 855, 805, 891, 388
• LCM of 190, 668, 463, 641, 759
• LCM of 818, 302, 118, 853, 659
• LCM of 276, 806, 703, 761, 301
• LCM of 554, 666, 834, 423, 218

1. What is the LCM of 304, 702, 311, 879, 966?

Answer: LCM of 304, 702, 311, 879, 966 is 1565433363312.

2. How to calculate the LCM of 304, 702, 311, 879, 966?

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 304, 702, 311, 879, 966.

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}.