Given numbers are 285,330,898,306,312

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

The LCM of 285,330,898,306,312 is 7465989960.

Find LCM of 285,330,898,306,312 with Prime Factorization

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

2 x 3 x 5 x 19 x 11 x 449 x 51 x 52 = 7465989960

Therefore, the lowest common multiple of 285,330,898,306,312 is 7465989960.

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.

285 x 330 x 898 x 306 x 312 = 8063269156800

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

898 : 1, 2, 449, 898

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,330,898,306,312, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

330:2x 3x 5x 11

898:2x 449

306:2x 3x 3x 17

312:2x 2x 2x 3x 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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 8063269156800/(1x1080)

LCM = 8063269156800/1080

LCM = 7465989960

Thus, we can understand that the LCM of 285,330,898,306,312 is 7465989960.

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

• LCM of 799, 599, 554, 205, 483
• LCM of 118, 585, 495, 886, 830
• LCM of 385, 308, 731, 677, 622
• LCM of 939, 989, 803, 808, 631
• LCM of 911, 611, 381, 770, 474

1. What is the LCM of 285, 330, 898, 306, 312?

Answer: LCM of 285, 330, 898, 306, 312 is 7465989960.

2. How to calculate the LCM of 285, 330, 898, 306, 312?

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 285, 330, 898, 306, 312.

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}.