Given numbers are 780,388,194,450,550

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

The LCM of 780,388,194,450,550 is 12483900.

Find LCM of 780,388,194,450,550 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 97 x 13 x 1 x 1 x 3 x 11 = 12483900

Therefore, the lowest common multiple of 780,388,194,450,550 is 12483900.

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.

780 x 388 x 194 x 450 x 550 = 14531259600000

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

388 : 1, 2, 4, 97, 194, 388

194 : 1, 2, 97, 194

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,388,194,450,550, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

388:2x 2x 97

194:2x 97

450:2x 3x 3x 5x 5

550:2x 5x 5x 11

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 3x 5x 5x 5x 97 = 582000

Therefore, the value for common factors is 582000.

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 = 14531259600000/(2x582000)

LCM = 14531259600000/1164000

LCM = 12483900

Thus, we can understand that the LCM of 780,388,194,450,550 is 12483900.

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

• LCM of 744, 203, 533, 613, 182
• LCM of 732, 410, 784, 736, 395
• LCM of 482, 377, 508, 692, 363
• LCM of 339, 286, 257, 455, 957
• LCM of 837, 867, 681, 799, 499

1. What is the LCM of 780, 388, 194, 450, 550?

Answer: LCM of 780, 388, 194, 450, 550 is 12483900.

2. How to calculate the LCM of 780, 388, 194, 450, 550?

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 780, 388, 194, 450, 550.

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}.