Given numbers are 864,351,367,792,818

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

The LCM of 864,351,367,792,818 is 18545525856.

Find LCM of 864,351,367,792,818 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 3 x 4 x 13 x 367 x 11 x 409 = 18545525856

Therefore, the lowest common multiple of 864,351,367,792,818 is 18545525856.

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.

864 x 351 x 367 x 792 x 818 = 72105004528128

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.

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

367 : 1, 367

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,351,367,792,818, is 1.

Now, the common factors can be found like this.

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

351:3x 3x 3x 13

367:367

792:2x 2x 2x 3x 3x 11

818:2x 409

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 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 72105004528128/(1x3888)

LCM = 72105004528128/3888

LCM = 18545525856

Thus, we can understand that the LCM of 864,351,367,792,818 is 18545525856.

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

• LCM of 764, 406, 146, 295, 260
• LCM of 913, 879, 116, 484, 539
• LCM of 234, 834, 880, 843, 110
• LCM of 657, 496, 968, 580, 284
• LCM of 230, 674, 617, 550, 618

1. What is the LCM of 864, 351, 367, 792, 818?

Answer: LCM of 864, 351, 367, 792, 818 is 18545525856.

2. How to calculate the LCM of 864, 351, 367, 792, 818?

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 864, 351, 367, 792, 818.

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}.