Given numbers are 414,296,808,792

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

The LCM of 414,296,808,792 is 68073192.

Find LCM of 414,296,808,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 37 x 101 x 11 = 68073192

Therefore, the lowest common multiple of 414,296,808,792 is 68073192.

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.

414 x 296 x 808 x 792 = 78420317184

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

296 : 1, 2, 4, 8, 37, 74, 148, 296

808 : 1, 2, 4, 8, 101, 202, 404, 808

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,296,808,792, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

296:2x 2x 2x 37

808:2x 2x 2x 101

792:2x 2x 2x 3x 3x 11

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 78420317184/(2x576)

LCM = 78420317184/1152

LCM = 68073192

Thus, we can understand that the LCM of 414,296,808,792 is 68073192.

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

• LCM of 796, 559, 554, 382
• LCM of 618, 523, 803, 571
• LCM of 964, 774, 738, 749
• LCM of 223, 957, 179, 455
• LCM of 375, 311, 244, 619

1. What is the LCM of 414, 296, 808, 792?

Answer: LCM of 414, 296, 808, 792 is 68073192.

2. How to calculate the LCM of 414, 296, 808, 792?

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 414, 296, 808, 792.

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}.