Given numbers are 728,406,626,260,116

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

The LCM of 728,406,626,260,116 is 33040280.

Find LCM of 728,406,626,260,116 with Prime Factorization

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

2 x 2 x 7 x 13 x 29 x 2 x 1 x 313 x 5 x 1 = 33040280

Therefore, the lowest common multiple of 728,406,626,260,116 is 33040280.

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 406 x 626 x 260 x 116 = 5580371130880

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

626 : 1, 2, 313, 626

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,406,626,260,116, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

406:2x 7x 29

626:2x 313

260:2x 2x 5x 13

116:2x 2x 29

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 7x 13x 29 = 84448

Therefore, the value for common factors is 84448.

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 = 5580371130880/(2x84448)

LCM = 5580371130880/168896

LCM = 33040280

Thus, we can understand that the LCM of 728,406,626,260,116 is 33040280.

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

• LCM of 923, 726, 414, 213, 750
• LCM of 273, 253, 737, 686, 564
• LCM of 890, 360, 798, 288, 579
• LCM of 333, 282, 551, 304, 779
• LCM of 126, 590, 422, 461, 155

1. What is the LCM of 728, 406, 626, 260, 116?

Answer: LCM of 728, 406, 626, 260, 116 is 33040280.

2. How to calculate the LCM of 728, 406, 626, 260, 116?

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, 406, 626, 260, 116.

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}.