Given numbers are 517,330,966,442,816

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

The LCM of 517,330,966,442,816 is 4414890480.

Find LCM of 517,330,966,442,816 with Prime Factorization

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

2 x 3 x 11 x 17 x 47 x 5 x 161 x 13 x 8 = 4414890480

Therefore, the lowest common multiple of 517,330,966,442,816 is 4414890480.

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.

517 x 330 x 966 x 442 x 816 = 59442085422720

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.

517 : 1, 11, 47, 517

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,330,966,442,816, is 1.

Now, the common factors can be found like this.

517:11x 47

330:2x 3x 5x 11

966:2x 3x 7x 23

442:2x 13x 17

816:2x 2x 2x 2x 3x 17

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 11x 17 = 13464

Therefore, the value for common factors is 13464.

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 = 59442085422720/(1x13464)

LCM = 59442085422720/13464

LCM = 4414890480

Thus, we can understand that the LCM of 517,330,966,442,816 is 4414890480.

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

• LCM of 910, 604, 808, 731, 946
• LCM of 169, 924, 574, 967, 381
• LCM of 154, 353, 331, 352, 723
• LCM of 800, 389, 861, 698, 941
• LCM of 644, 912, 151, 275, 763

1. What is the LCM of 517, 330, 966, 442, 816?

Answer: LCM of 517, 330, 966, 442, 816 is 4414890480.

2. How to calculate the LCM of 517, 330, 966, 442, 816?

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 517, 330, 966, 442, 816.

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}.