Given numbers are 284,531,412,460

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

The LCM of 284,531,412,460 is 1786273380.

Find LCM of 284,531,412,460 with Prime Factorization

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

2 x 2 x 71 x 531 x 103 x 115 = 1786273380

Therefore, the lowest common multiple of 284,531,412,460 is 1786273380.

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 531 x 412 x 460 = 28580374080

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

531 : 1, 3, 9, 59, 177, 531

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,531,412,460, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

531:3x 3x 59

412:2x 2x 103

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 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 = 28580374080/(1x16)

LCM = 28580374080/16

LCM = 1786273380

Thus, we can understand that the LCM of 284,531,412,460 is 1786273380.

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

• LCM of 111, 551, 454, 325
• LCM of 764, 746, 853, 801
• LCM of 693, 676, 256, 659
• LCM of 825, 757, 572, 775
• LCM of 116, 448, 937, 107

1. What is the LCM of 284, 531, 412, 460?

Answer: LCM of 284, 531, 412, 460 is 1786273380.

2. How to calculate the LCM of 284, 531, 412, 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, 531, 412, 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}.