Given numbers are 286,564,798,468

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

The LCM of 286,564,798,468 is 32180148.

Find LCM of 286,564,798,468 with Prime Factorization

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

2 x 2 x 3 x 13 x 11 x 47 x 133 x 3 = 32180148

Therefore, the lowest common multiple of 286,564,798,468 is 32180148.

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.

286 x 564 x 798 x 468 = 60241237056

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,564,798,468, is 2.

Now, the common factors can be found like this.

286:2x 11x 13

564:2x 2x 3x 47

798:2x 3x 7x 19

468:2x 2x 3x 3x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 60241237056/(2x936)

LCM = 60241237056/1872

LCM = 32180148

Thus, we can understand that the LCM of 286,564,798,468 is 32180148.

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

• LCM of 977, 200, 283, 749
• LCM of 229, 673, 155, 878
• LCM of 906, 581, 729, 784
• LCM of 433, 408, 385, 192
• LCM of 123, 869, 803, 181

1. What is the LCM of 286, 564, 798, 468?

Answer: LCM of 286, 564, 798, 468 is 32180148.

2. How to calculate the LCM of 286, 564, 798, 468?

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 286, 564, 798, 468.

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}.