Given numbers are 990,115,355,365

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

The LCM of 990,115,355,365 is 118016910.

Find LCM of 990,115,355,365 with Prime Factorization

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

5 x 198 x 23 x 71 x 73 = 118016910

Therefore, the lowest common multiple of 990,115,355,365 is 118016910.

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.

990 x 115 x 355 x 365 = 14752113750

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

115 : 1, 5, 23, 115

355 : 1, 5, 71, 355

365 : 1, 5, 73, 365

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,115,355,365, is 5.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

115:5x 23

355:5x 71

365:5x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 14752113750/(5x25)

LCM = 14752113750/125

LCM = 118016910

Thus, we can understand that the LCM of 990,115,355,365 is 118016910.

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

• LCM of 640, 476, 952, 400
• LCM of 469, 680, 960, 504
• LCM of 466, 381, 695, 929
• LCM of 543, 784, 142, 302
• LCM of 692, 389, 310, 540

1. What is the LCM of 990, 115, 355, 365?

Answer: LCM of 990, 115, 355, 365 is 118016910.

2. How to calculate the LCM of 990, 115, 355, 365?

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 990, 115, 355, 365.

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}.