Given numbers are 900,798,230,816,790

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

The LCM of 900,798,230,816,790 is 14789653200.

Find LCM of 900,798,230,816,790 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 133 x 23 x 68 x 79 = 14789653200

Therefore, the lowest common multiple of 900,798,230,816,790 is 14789653200.

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.

900 x 798 x 230 x 816 x 790 = 106485503040000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

230 : 1, 2, 5, 10, 23, 46, 115, 230

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,798,230,816,790, is 2.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

798:2x 3x 7x 19

230:2x 5x 23

816:2x 2x 2x 2x 3x 17

790:2x 5x 79

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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 106485503040000/(2x3600)

LCM = 106485503040000/7200

LCM = 14789653200

Thus, we can understand that the LCM of 900,798,230,816,790 is 14789653200.

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

• LCM of 997, 726, 336, 228, 736
• LCM of 496, 558, 232, 718, 884
• LCM of 867, 884, 664, 733, 452
• LCM of 172, 544, 113, 535, 172
• LCM of 477, 585, 235, 443, 875

1. What is the LCM of 900, 798, 230, 816, 790?

Answer: LCM of 900, 798, 230, 816, 790 is 14789653200.

2. How to calculate the LCM of 900, 798, 230, 816, 790?

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 900, 798, 230, 816, 790.

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}.