Given numbers are 990,366,528,436,214

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

The LCM of 990,366,528,436,214 is 5634628560.

Find LCM of 990,366,528,436,214 with Prime Factorization

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

2 x 2 x 3 x 11 x 15 x 61 x 4 x 109 x 107 = 5634628560

Therefore, the lowest common multiple of 990,366,528,436,214 is 5634628560.

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 366 x 528 x 436 x 214 = 17850503278080

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

436 : 1, 2, 4, 109, 218, 436

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,366,528,436,214, is 2.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

366:2x 3x 61

528:2x 2x 2x 2x 3x 11

436:2x 2x 109

214:2x 107

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 17850503278080/(2x1584)

LCM = 17850503278080/3168

LCM = 5634628560

Thus, we can understand that the LCM of 990,366,528,436,214 is 5634628560.

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

• LCM of 538, 339, 891, 784, 472
• LCM of 383, 301, 733, 997, 241
• LCM of 881, 706, 165, 830, 567
• LCM of 902, 929, 529, 236, 818
• LCM of 474, 448, 591, 786, 667

1. What is the LCM of 990, 366, 528, 436, 214?

Answer: LCM of 990, 366, 528, 436, 214 is 5634628560.

2. How to calculate the LCM of 990, 366, 528, 436, 214?

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, 366, 528, 436, 214.

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}.