Given numbers are 816,772,726,864

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

The LCM of 816,772,726,864 is 343008864.

Find LCM of 816,772,726,864 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 193 x 121 x 18 = 343008864

Therefore, the lowest common multiple of 816,772,726,864 is 343008864.

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 772 x 726 x 864 = 395146211328

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

772 : 1, 2, 4, 193, 386, 772

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,772,726,864, is 2.

Now, the common factors can be found like this.

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

772:2x 2x 193

726:2x 3x 11x 11

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 395146211328/(2x576)

LCM = 395146211328/1152

LCM = 343008864

Thus, we can understand that the LCM of 816,772,726,864 is 343008864.

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

• LCM of 415, 839, 396, 308
• LCM of 747, 520, 262, 487
• LCM of 655, 724, 380, 965
• LCM of 899, 980, 348, 436
• LCM of 905, 481, 124, 725

1. What is the LCM of 816, 772, 726, 864?

Answer: LCM of 816, 772, 726, 864 is 343008864.

2. How to calculate the LCM of 816, 772, 726, 864?

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, 772, 726, 864.

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}.