Given numbers are 816,432,207,442

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

The LCM of 816,432,207,442 is 2195856.

Find LCM of 816,432,207,442 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 17 x 1 x 3 x 23 x 13 = 2195856

Therefore, the lowest common multiple of 816,432,207,442 is 2195856.

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.

816 x 432 x 207 x 442 = 32252732928

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.

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

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

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,432,207,442, is 1.

Now, the common factors can be found like this.

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

432:2x 2x 2x 2x 3x 3x 3

207:3x 3x 23

442:2x 13x 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 2x 2x 3x 3x 3x 17 = 14688

Therefore, the value for common factors is 14688.

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 = 32252732928/(1x14688)

LCM = 32252732928/14688

LCM = 2195856

Thus, we can understand that the LCM of 816,432,207,442 is 2195856.

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

• LCM of 576, 700, 991, 769
• LCM of 492, 343, 731, 229
• LCM of 463, 526, 124, 980
• LCM of 265, 271, 604, 269
• LCM of 660, 184, 275, 673

1. What is the LCM of 816, 432, 207, 442?

Answer: LCM of 816, 432, 207, 442 is 2195856.

2. How to calculate the LCM of 816, 432, 207, 442?

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 816, 432, 207, 442.

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}.