Given numbers are 216,428,793,918,990

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

The LCM of 216,428,793,918,990 is 17136507960.

Find LCM of 216,428,793,918,990 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 2 x 107 x 793 x 17 x 55 = 17136507960

Therefore, the lowest common multiple of 216,428,793,918,990 is 17136507960.

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.

216 x 428 x 793 x 918 x 990 = 66626742948480

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

428 : 1, 2, 4, 107, 214, 428

793 : 1, 13, 61, 793

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,428,793,918,990, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

428:2x 2x 107

793:13x 61

918:2x 3x 3x 3x 17

990:2x 3x 3x 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 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 66626742948480/(1x3888)

LCM = 66626742948480/3888

LCM = 17136507960

Thus, we can understand that the LCM of 216,428,793,918,990 is 17136507960.

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

• LCM of 940, 766, 441, 843, 229
• LCM of 368, 989, 522, 858, 991
• LCM of 854, 462, 762, 996, 193
• LCM of 948, 412, 344, 514, 436
• LCM of 821, 157, 400, 428, 983

1. What is the LCM of 216, 428, 793, 918, 990?

Answer: LCM of 216, 428, 793, 918, 990 is 17136507960.

2. How to calculate the LCM of 216, 428, 793, 918, 990?

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 216, 428, 793, 918, 990.

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}.