Given numbers are 585,129,722,912

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

The LCM of 585,129,722,912 is 145295280.

Find LCM of 585,129,722,912 with Prime Factorization

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

2 x 3 x 19 x 195 x 43 x 19 x 8 = 145295280

Therefore, the lowest common multiple of 585,129,722,912 is 145295280.

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.

585 x 129 x 722 x 912 = 49690985760

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

129 : 1, 3, 43, 129

722 : 1, 2, 19, 38, 361, 722

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,129,722,912, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

129:3x 43

722:2x 19x 19

912:2x 2x 2x 2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 49690985760/(1x342)

LCM = 49690985760/342

LCM = 145295280

Thus, we can understand that the LCM of 585,129,722,912 is 145295280.

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

• LCM of 508, 429, 218, 247
• LCM of 554, 388, 330, 432
• LCM of 209, 730, 718, 349
• LCM of 557, 333, 879, 416
• LCM of 223, 300, 614, 645

1. What is the LCM of 585, 129, 722, 912?

Answer: LCM of 585, 129, 722, 912 is 145295280.

2. How to calculate the LCM of 585, 129, 722, 912?

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 585, 129, 722, 912.

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}.