Given numbers are 728,115,466,517

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

The LCM of 728,115,466,517 is 10084994920.

Find LCM of 728,115,466,517 with Prime Factorization

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

2 x 364 x 115 x 233 x 517 = 10084994920

Therefore, the lowest common multiple of 728,115,466,517 is 10084994920.

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 115 x 466 x 517 = 20169989840

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

115 : 1, 5, 23, 115

466 : 1, 2, 233, 466

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,115,466,517, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

115:5x 23

466:2x 233

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 20169989840/(1x2)

LCM = 20169989840/2

LCM = 10084994920

Thus, we can understand that the LCM of 728,115,466,517 is 10084994920.

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

• LCM of 797, 466, 693, 562
• LCM of 501, 969, 977, 832
• LCM of 247, 508, 858, 727
• LCM of 525, 181, 635, 610
• LCM of 429, 891, 304, 275

1. What is the LCM of 728, 115, 466, 517?

Answer: LCM of 728, 115, 466, 517 is 10084994920.

2. How to calculate the LCM of 728, 115, 466, 517?

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, 115, 466, 517.

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}.