Given numbers are 350,206,816,358,486

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

The LCM of 350,206,816,358,486 is 213257091600.

Find LCM of 350,206,816,358,486 with Prime Factorization

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

2 x 3 x 175 x 103 x 136 x 179 x 81 = 213257091600

Therefore, the lowest common multiple of 350,206,816,358,486 is 213257091600.

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.

350 x 206 x 816 x 358 x 486 = 10236340396800

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

206 : 1, 2, 103, 206

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

358 : 1, 2, 179, 358

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,206,816,358,486, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

206:2x 103

816:2x 2x 2x 2x 3x 17

358:2x 179

486:2x 3x 3x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10236340396800/(2x24)

LCM = 10236340396800/48

LCM = 213257091600

Thus, we can understand that the LCM of 350,206,816,358,486 is 213257091600.

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

• LCM of 156, 995, 911, 159, 554
• LCM of 822, 633, 128, 110, 489
• LCM of 451, 612, 431, 676, 808
• LCM of 301, 637, 697, 540, 622
• LCM of 749, 669, 677, 115, 919

1. What is the LCM of 350, 206, 816, 358, 486?

Answer: LCM of 350, 206, 816, 358, 486 is 213257091600.

2. How to calculate the LCM of 350, 206, 816, 358, 486?

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 350, 206, 816, 358, 486.

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}.