Given numbers are 449,632,728,660,416

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

The LCM of 449,632,728,660,416 is 17043106080.

Find LCM of 449,632,728,660,416 with Prime Factorization

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

2 x 2 x 2 x 13 x 449 x 79 x 7 x 165 x 4 = 17043106080

Therefore, the lowest common multiple of 449,632,728,660,416 is 17043106080.

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.

449 x 632 x 728 x 660 x 416 = 56719457034240

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.

449 : 1, 449

632 : 1, 2, 4, 8, 79, 158, 316, 632

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,632,728,660,416, is 1.

Now, the common factors can be found like this.

449:449

632:2x 2x 2x 79

728:2x 2x 2x 7x 13

660:2x 2x 3x 5x 11

416:2x 2x 2x 2x 2x 13

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 2x 2x 13 = 3328

Therefore, the value for common factors is 3328.

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 = 56719457034240/(1x3328)

LCM = 56719457034240/3328

LCM = 17043106080

Thus, we can understand that the LCM of 449,632,728,660,416 is 17043106080.

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

• LCM of 384, 917, 558, 989, 993
• LCM of 679, 170, 361, 653, 873
• LCM of 392, 878, 873, 192, 654
• LCM of 774, 638, 635, 467, 347
• LCM of 557, 592, 184, 985, 324

1. What is the LCM of 449, 632, 728, 660, 416?

Answer: LCM of 449, 632, 728, 660, 416 is 17043106080.

2. How to calculate the LCM of 449, 632, 728, 660, 416?

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 449, 632, 728, 660, 416.

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}.