Given numbers are 816,457,731,17

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

The LCM of 816,457,731,17 is 16035216.

Find LCM of 816,457,731,17 with Prime Factorization

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

17 x 48 x 457 x 43 x 1 = 16035216

Therefore, the lowest common multiple of 816,457,731,17 is 16035216.

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 457 x 731 x 17 = 4634177424

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

457 : 1, 457

731 : 1, 17, 43, 731

17 : 1, 17

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,457,731,17, is 1.

Now, the common factors can be found like this.

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

457:457

731:17x 43

17:17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 4634177424/(1x289)

LCM = 4634177424/289

LCM = 16035216

Thus, we can understand that the LCM of 816,457,731,17 is 16035216.

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

• LCM of 681, 694, 108, 36
• LCM of 178, 259, 773, 39
• LCM of 630, 782, 778, 90
• LCM of 395, 771, 423, 37
• LCM of 483, 951, 337, 75

1. What is the LCM of 816, 457, 731, 17?

Answer: LCM of 816, 457, 731, 17 is 16035216.

2. How to calculate the LCM of 816, 457, 731, 17?

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, 457, 731, 17.

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}.