Given numbers are 720,566,466,417,506

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

The LCM of 720,566,466,417,506 is 1669591305360.

Find LCM of 720,566,466,417,506 with Prime Factorization

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

2 x 3 x 120 x 283 x 233 x 139 x 253 = 1669591305360

Therefore, the lowest common multiple of 720,566,466,417,506 is 1669591305360.

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.

720 x 566 x 466 x 417 x 506 = 40070191328640

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

566 : 1, 2, 283, 566

466 : 1, 2, 233, 466

417 : 1, 3, 139, 417

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,566,466,417,506, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

566:2x 283

466:2x 233

417:3x 139

506:2x 11x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 40070191328640/(1x24)

LCM = 40070191328640/24

LCM = 1669591305360

Thus, we can understand that the LCM of 720,566,466,417,506 is 1669591305360.

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

• LCM of 354, 470, 715, 599, 994
• LCM of 455, 214, 745, 435, 673
• LCM of 317, 957, 342, 249, 459
• LCM of 648, 933, 192, 206, 168
• LCM of 737, 807, 957, 240, 858

1. What is the LCM of 720, 566, 466, 417, 506?

Answer: LCM of 720, 566, 466, 417, 506 is 1669591305360.

2. How to calculate the LCM of 720, 566, 466, 417, 506?

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 720, 566, 466, 417, 506.

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}.