Given numbers are 464,494,728,416,790

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

The LCM of 464,494,728,416,790 is 633782240.

Find LCM of 464,494,728,416,790 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 29 x 19 x 7 x 2 x 395 = 633782240

Therefore, the lowest common multiple of 464,494,728,416,790 is 633782240.

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.

464 x 494 x 728 x 416 x 790 = 54839909662720

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,494,728,416,790, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

494:2x 13x 19

728:2x 2x 2x 7x 13

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

790:2x 5x 79

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 13x 13 = 43264

Therefore, the value for common factors is 43264.

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 = 54839909662720/(2x43264)

LCM = 54839909662720/86528

LCM = 633782240

Thus, we can understand that the LCM of 464,494,728,416,790 is 633782240.

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

• LCM of 317, 685, 311, 279, 674
• LCM of 162, 711, 704, 679, 429
• LCM of 126, 522, 645, 206, 487
• LCM of 146, 347, 309, 394, 868
• LCM of 956, 235, 274, 437, 721

1. What is the LCM of 464, 494, 728, 416, 790?

Answer: LCM of 464, 494, 728, 416, 790 is 633782240.

2. How to calculate the LCM of 464, 494, 728, 416, 790?

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 464, 494, 728, 416, 790.

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}.