Given numbers are 728,928,313,646,736

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

The LCM of 728,928,313,646,736 is 196364992096.

Find LCM of 728,928,313,646,736 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 91 x 29 x 313 x 323 x 23 = 196364992096

Therefore, the lowest common multiple of 728,928,313,646,736 is 196364992096.

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 928 x 313 x 646 x 736 = 100538875953152

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

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

313 : 1, 313

646 : 1, 2, 17, 19, 34, 38, 323, 646

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,928,313,646,736, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

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

313:313

646:2x 17x 19

736:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 100538875953152/(1x512)

LCM = 100538875953152/512

LCM = 196364992096

Thus, we can understand that the LCM of 728,928,313,646,736 is 196364992096.

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

• LCM of 262, 988, 789, 847, 619
• LCM of 591, 162, 911, 827, 809
• LCM of 209, 518, 973, 605, 187
• LCM of 760, 217, 567, 903, 664
• LCM of 935, 575, 126, 683, 553

1. What is the LCM of 728, 928, 313, 646, 736?

Answer: LCM of 728, 928, 313, 646, 736 is 196364992096.

2. How to calculate the LCM of 728, 928, 313, 646, 736?

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, 928, 313, 646, 736.

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}.