Given numbers are 996,493,475,924,966

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

The LCM of 996,493,475,924,966 is 413065029300.

Find LCM of 996,493,475,924,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 83 x 493 x 475 x 11 x 23 = 413065029300

Therefore, the lowest common multiple of 996,493,475,924,966 is 413065029300.

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.

996 x 493 x 475 x 924 x 966 = 208184774767200

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

493 : 1, 17, 29, 493

475 : 1, 5, 19, 25, 95, 475

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,493,475,924,966, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

493:17x 29

475:5x 5x 19

924:2x 2x 3x 7x 11

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 208184774767200/(1x504)

LCM = 208184774767200/504

LCM = 413065029300

Thus, we can understand that the LCM of 996,493,475,924,966 is 413065029300.

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

• LCM of 367, 662, 531, 659, 931
• LCM of 456, 467, 164, 906, 459
• LCM of 637, 905, 191, 883, 380
• LCM of 888, 789, 106, 976, 575
• LCM of 340, 146, 348, 299, 862

1. What is the LCM of 996, 493, 475, 924, 966?

Answer: LCM of 996, 493, 475, 924, 966 is 413065029300.

2. How to calculate the LCM of 996, 493, 475, 924, 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 996, 493, 475, 924, 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}.