Given numbers are 432,106,794,689,413

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

The LCM of 432,106,794,689,413 is 48802663728.

Find LCM of 432,106,794,689,413 with Prime Factorization

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

2 x 53 x 216 x 1 x 397 x 13 x 413 = 48802663728

Therefore, the lowest common multiple of 432,106,794,689,413 is 48802663728.

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.

432 x 106 x 794 x 689 x 413 = 10346164710336

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.

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

106 : 1, 2, 53, 106

794 : 1, 2, 397, 794

689 : 1, 13, 53, 689

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,106,794,689,413, is 1.

Now, the common factors can be found like this.

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

106:2x 53

794:2x 397

689:13x 53

413:7x 59

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 53 = 212

Therefore, the value for common factors is 212.

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 = 10346164710336/(1x212)

LCM = 10346164710336/212

LCM = 48802663728

Thus, we can understand that the LCM of 432,106,794,689,413 is 48802663728.

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

• LCM of 885, 150, 168, 189, 854
• LCM of 225, 450, 799, 523, 345
• LCM of 126, 226, 983, 873, 500
• LCM of 861, 700, 864, 654, 667
• LCM of 938, 558, 667, 237, 273

1. What is the LCM of 432, 106, 794, 689, 413?

Answer: LCM of 432, 106, 794, 689, 413 is 48802663728.

2. How to calculate the LCM of 432, 106, 794, 689, 413?

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 432, 106, 794, 689, 413.

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}.