Given numbers are 316,405,368,284

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

The LCM of 316,405,368,284 is 835965360.

Find LCM of 316,405,368,284 with Prime Factorization

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

2 x 2 x 79 x 405 x 92 x 71 = 835965360

Therefore, the lowest common multiple of 316,405,368,284 is 835965360.

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.

316 x 405 x 368 x 284 = 13375445760

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.

316 : 1, 2, 4, 79, 158, 316

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,405,368,284, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

405:3x 3x 3x 3x 5

368:2x 2x 2x 2x 23

284:2x 2x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 13375445760/(1x16)

LCM = 13375445760/16

LCM = 835965360

Thus, we can understand that the LCM of 316,405,368,284 is 835965360.

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

• LCM of 287, 659, 386, 223
• LCM of 928, 323, 754, 299
• LCM of 789, 766, 858, 874
• LCM of 946, 754, 384, 497
• LCM of 455, 937, 662, 396

1. What is the LCM of 316, 405, 368, 284?

Answer: LCM of 316, 405, 368, 284 is 835965360.

2. How to calculate the LCM of 316, 405, 368, 284?

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 316, 405, 368, 284.

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}.