Given numbers are 328,728,358,286,944

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

The LCM of 328,728,358,286,944 is 6934944016.

Find LCM of 328,728,358,286,944 with Prime Factorization

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

2 x 2 x 2 x 13 x 41 x 7 x 179 x 11 x 118 = 6934944016

Therefore, the lowest common multiple of 328,728,358,286,944 is 6934944016.

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.

328 x 728 x 358 x 286 x 944 = 23079493685248

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

358 : 1, 2, 179, 358

286 : 1, 2, 11, 13, 22, 26, 143, 286

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,728,358,286,944, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

728:2x 2x 2x 7x 13

358:2x 179

286:2x 11x 13

944:2x 2x 2x 2x 59

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 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 23079493685248/(2x1664)

LCM = 23079493685248/3328

LCM = 6934944016

Thus, we can understand that the LCM of 328,728,358,286,944 is 6934944016.

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

• LCM of 622, 534, 998, 723, 408
• LCM of 806, 879, 449, 553, 120
• LCM of 984, 446, 271, 488, 762
• LCM of 993, 570, 648, 267, 882
• LCM of 428, 805, 735, 441, 359

1. What is the LCM of 328, 728, 358, 286, 944?

Answer: LCM of 328, 728, 358, 286, 944 is 6934944016.

2. How to calculate the LCM of 328, 728, 358, 286, 944?

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 328, 728, 358, 286, 944.

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}.