Given numbers are 728,754,928,793

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

The LCM of 728,754,928,793 is 5151328.

Find LCM of 728,754,928,793 with Prime Factorization

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

2 x 2 x 2 x 13 x 29 x 7 x 1 x 4 x 61 = 5151328

Therefore, the lowest common multiple of 728,754,928,793 is 5151328.

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.

728 x 754 x 928 x 793 = 403946536448

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.

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,754,928,793, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

754:2x 13x 29

928:2x 2x 2x 2x 2x 29

793:13x 61

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 13x 13x 29 = 78416

Therefore, the value for common factors is 78416.

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 = 403946536448/(1x78416)

LCM = 403946536448/78416

LCM = 5151328

Thus, we can understand that the LCM of 728,754,928,793 is 5151328.

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

• LCM of 571, 868, 518, 182
• LCM of 112, 645, 510, 600
• LCM of 200, 870, 106, 856
• LCM of 570, 912, 328, 643
• LCM of 932, 129, 958, 124

1. What is the LCM of 728, 754, 928, 793?

Answer: LCM of 728, 754, 928, 793 is 5151328.

2. How to calculate the LCM of 728, 754, 928, 793?

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 728, 754, 928, 793.

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}.