Given numbers are 313,697,990,566,216

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

The LCM of 313,697,990,566,216 is 733466008440.

Find LCM of 313,697,990,566,216 with Prime Factorization

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

2 x 3 x 3 x 313 x 697 x 55 x 283 x 12 = 733466008440

Therefore, the lowest common multiple of 313,697,990,566,216 is 733466008440.

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.

313 x 697 x 990 x 566 x 216 = 26404776303840

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.

313 : 1, 313

697 : 1, 17, 41, 697

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

566 : 1, 2, 283, 566

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,697,990,566,216, is 1.

Now, the common factors can be found like this.

313:313

697:17x 41

990:2x 3x 3x 5x 11

566:2x 283

216:2x 2x 2x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 26404776303840/(1x36)

LCM = 26404776303840/36

LCM = 733466008440

Thus, we can understand that the LCM of 313,697,990,566,216 is 733466008440.

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

• LCM of 240, 864, 888, 620, 677
• LCM of 376, 569, 481, 722, 988
• LCM of 361, 820, 406, 443, 143
• LCM of 338, 381, 385, 257, 321
• LCM of 978, 422, 845, 732, 820

1. What is the LCM of 313, 697, 990, 566, 216?

Answer: LCM of 313, 697, 990, 566, 216 is 733466008440.

2. How to calculate the LCM of 313, 697, 990, 566, 216?

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 313, 697, 990, 566, 216.

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}.