Given numbers are 284,636,428,418,460

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

The LCM of 284,636,428,418,460 is 116129717220.

Find LCM of 284,636,428,418,460 with Prime Factorization

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

2 x 2 x 71 x 159 x 107 x 209 x 115 = 116129717220

Therefore, the lowest common multiple of 284,636,428,418,460 is 116129717220.

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.

284 x 636 x 428 x 418 x 460 = 14864603804160

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.

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

428 : 1, 2, 4, 107, 214, 428

418 : 1, 2, 11, 19, 22, 38, 209, 418

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,636,428,418,460, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

636:2x 2x 3x 53

428:2x 2x 107

418:2x 11x 19

460:2x 2x 5x 23

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 = 14864603804160/(2x64)

LCM = 14864603804160/128

LCM = 116129717220

Thus, we can understand that the LCM of 284,636,428,418,460 is 116129717220.

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

• LCM of 275, 235, 357, 571, 607
• LCM of 167, 324, 485, 430, 931
• LCM of 270, 814, 847, 225, 190
• LCM of 194, 366, 782, 195, 625
• LCM of 750, 240, 116, 978, 412

1. What is the LCM of 284, 636, 428, 418, 460?

Answer: LCM of 284, 636, 428, 418, 460 is 116129717220.

2. How to calculate the LCM of 284, 636, 428, 418, 460?

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 284, 636, 428, 418, 460.

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}.