Given numbers are 816,257,696,671,493

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

The LCM of 816,257,696,671,493 is 4080785808.

Find LCM of 816,257,696,671,493 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 29 x 2 x 257 x 1 x 671 x 1 = 4080785808

Therefore, the lowest common multiple of 816,257,696,671,493 is 4080785808.

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.

816 x 257 x 696 x 671 x 493 = 48283857680256

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

257 : 1, 257

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

671 : 1, 11, 61, 671

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,257,696,671,493, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

257:257

696:2x 2x 2x 3x 29

671:11x 61

493:17x 29

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 17x 29 = 11832

Therefore, the value for common factors is 11832.

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 = 48283857680256/(1x11832)

LCM = 48283857680256/11832

LCM = 4080785808

Thus, we can understand that the LCM of 816,257,696,671,493 is 4080785808.

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

• LCM of 301, 149, 370, 245, 904
• LCM of 173, 482, 424, 591, 157
• LCM of 819, 512, 643, 809, 654
• LCM of 363, 731, 337, 287, 259
• LCM of 850, 415, 714, 205, 851

1. What is the LCM of 816, 257, 696, 671, 493?

Answer: LCM of 816, 257, 696, 671, 493 is 4080785808.

2. How to calculate the LCM of 816, 257, 696, 671, 493?

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 816, 257, 696, 671, 493.

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}.