Given numbers are 990,844,782,428,966

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

The LCM of 990,844,782,428,966 is 122350633020.

Find LCM of 990,844,782,428,966 with Prime Factorization

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

2 x 2 x 3 x 23 x 165 x 211 x 17 x 107 x 7 = 122350633020

Therefore, the lowest common multiple of 990,844,782,428,966 is 122350633020.

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 844 x 782 x 428 x 966 = 270150197708160

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

844 : 1, 2, 4, 211, 422, 844

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,844,782,428,966, is 2.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

844:2x 2x 211

782:2x 17x 23

428:2x 2x 107

966:2x 3x 7x 23

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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 270150197708160/(2x1104)

LCM = 270150197708160/2208

LCM = 122350633020

Thus, we can understand that the LCM of 990,844,782,428,966 is 122350633020.

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

• LCM of 277, 872, 200, 106, 713
• LCM of 817, 447, 110, 558, 419
• LCM of 963, 449, 828, 150, 330
• LCM of 653, 626, 611, 112, 279
• LCM of 532, 531, 904, 488, 215

1. What is the LCM of 990, 844, 782, 428, 966?

Answer: LCM of 990, 844, 782, 428, 966 is 122350633020.

2. How to calculate the LCM of 990, 844, 782, 428, 966?

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, 844, 782, 428, 966.

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}.