Given numbers are 389,646,616,864

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

The LCM of 389,646,616,864 is 8359043616.

Find LCM of 389,646,616,864 with Prime Factorization

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

2 x 2 x 2 x 389 x 323 x 77 x 108 = 8359043616

Therefore, the lowest common multiple of 389,646,616,864 is 8359043616.

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.

389 x 646 x 616 x 864 = 133744697856

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.

389 : 1, 389

646 : 1, 2, 17, 19, 34, 38, 323, 646

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,646,616,864, is 1.

Now, the common factors can be found like this.

389:389

646:2x 17x 19

616:2x 2x 2x 7x 11

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

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 2 = 16

Therefore, the value for common factors is 16.

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 = 133744697856/(1x16)

LCM = 133744697856/16

LCM = 8359043616

Thus, we can understand that the LCM of 389,646,616,864 is 8359043616.

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

• LCM of 774, 123, 158, 577
• LCM of 425, 141, 775, 287
• LCM of 981, 855, 189, 887
• LCM of 633, 533, 328, 888
• LCM of 460, 717, 339, 604

1. What is the LCM of 389, 646, 616, 864?

Answer: LCM of 389, 646, 616, 864 is 8359043616.

2. How to calculate the LCM of 389, 646, 616, 864?

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 389, 646, 616, 864.

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}.