Given numbers are 728,920,522,368,481

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

The LCM of 728,920,522,368,481 is 1616968080.

Find LCM of 728,920,522,368,481 with Prime Factorization

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

2 x 2 x 2 x 13 x 23 x 7 x 5 x 261 x 2 x 37 = 1616968080

Therefore, the lowest common multiple of 728,920,522,368,481 is 1616968080.

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 920 x 522 x 368 x 481 = 61884602357760

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,920,522,368,481, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

920:2x 2x 2x 5x 23

522:2x 3x 3x 29

368:2x 2x 2x 2x 23

481:13x 37

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 13x 23 = 38272

Therefore, the value for common factors is 38272.

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 = 61884602357760/(1x38272)

LCM = 61884602357760/38272

LCM = 1616968080

Thus, we can understand that the LCM of 728,920,522,368,481 is 1616968080.

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

• LCM of 760, 784, 899, 637, 628
• LCM of 157, 966, 973, 583, 637
• LCM of 648, 542, 840, 870, 730
• LCM of 864, 329, 530, 371, 203
• LCM of 411, 322, 150, 467, 660

1. What is the LCM of 728, 920, 522, 368, 481?

Answer: LCM of 728, 920, 522, 368, 481 is 1616968080.

2. How to calculate the LCM of 728, 920, 522, 368, 481?

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, 920, 522, 368, 481.

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}.