Given numbers are 817,966,642,432

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

The LCM of 817,966,642,432 is 6080166288.

Find LCM of 817,966,642,432 with Prime Factorization

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

2 x 3 x 817 x 161 x 107 x 72 = 6080166288

Therefore, the lowest common multiple of 817,966,642,432 is 6080166288.

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.

817 x 966 x 642 x 432 = 218885986368

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.

817 : 1, 19, 43, 817

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,966,642,432, is 1.

Now, the common factors can be found like this.

817:19x 43

966:2x 3x 7x 23

642:2x 3x 107

432:2x 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 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 = 218885986368/(1x36)

LCM = 218885986368/36

LCM = 6080166288

Thus, we can understand that the LCM of 817,966,642,432 is 6080166288.

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

• LCM of 407, 191, 162, 429
• LCM of 559, 682, 136, 117
• LCM of 817, 833, 385, 385
• LCM of 593, 767, 230, 217
• LCM of 342, 843, 169, 319

1. What is the LCM of 817, 966, 642, 432?

Answer: LCM of 817, 966, 642, 432 is 6080166288.

2. How to calculate the LCM of 817, 966, 642, 432?

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 817, 966, 642, 432.

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}.