Given numbers are 819,855,414,449,396

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

The LCM of 819,855,414,449,396 is 35353658340.

Find LCM of 819,855,414,449,396 with Prime Factorization

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

2 x 3 x 3 x 91 x 95 x 23 x 449 x 22 = 35353658340

Therefore, the lowest common multiple of 819,855,414,449,396 is 35353658340.

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.

819 x 855 x 414 x 449 x 396 = 51545633859720

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

449 : 1, 449

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,855,414,449,396, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

855:3x 3x 5x 19

414:2x 3x 3x 23

449:449

396:2x 2x 3x 3x 11

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

2x 3x 3x 3x 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 51545633859720/(1x1458)

LCM = 51545633859720/1458

LCM = 35353658340

Thus, we can understand that the LCM of 819,855,414,449,396 is 35353658340.

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

• LCM of 744, 589, 663, 563, 687
• LCM of 218, 549, 394, 725, 262
• LCM of 361, 131, 875, 449, 627
• LCM of 661, 204, 570, 903, 604
• LCM of 195, 918, 533, 111, 255

1. What is the LCM of 819, 855, 414, 449, 396?

Answer: LCM of 819, 855, 414, 449, 396 is 35353658340.

2. How to calculate the LCM of 819, 855, 414, 449, 396?

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 819, 855, 414, 449, 396.

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}.