Given numbers are 328,128,840,286

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

The LCM of 328,128,840,286 is 78798720.

Find LCM of 328,128,840,286 with Prime Factorization

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

2 x 2 x 2 x 41 x 16 x 105 x 143 = 78798720

Therefore, the lowest common multiple of 328,128,840,286 is 78798720.

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 128 x 840 x 286 = 10086236160

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,128,840,286, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

128:2x 2x 2x 2x 2x 2x 2

840:2x 2x 2x 3x 5x 7

286:2x 11x 13

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 2 = 64

Therefore, the value for common factors is 64.

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 = 10086236160/(2x64)

LCM = 10086236160/128

LCM = 78798720

Thus, we can understand that the LCM of 328,128,840,286 is 78798720.

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

• LCM of 581, 375, 343, 729
• LCM of 806, 356, 569, 880
• LCM of 295, 330, 839, 478
• LCM of 498, 301, 704, 793
• LCM of 711, 936, 611, 475

1. What is the LCM of 328, 128, 840, 286?

Answer: LCM of 328, 128, 840, 286 is 78798720.

2. How to calculate the LCM of 328, 128, 840, 286?

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, 128, 840, 286.

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}.