Given numbers are 216,323,119,822,460

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

The LCM of 216,323,119,822,460 is 7694363880.

Find LCM of 216,323,119,822,460 with Prime Factorization

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

2 x 2 x 3 x 17 x 18 x 19 x 7 x 137 x 115 = 7694363880

Therefore, the lowest common multiple of 216,323,119,822,460 is 7694363880.

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.

216 x 323 x 119 x 822 x 460 = 3139300463040

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.

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

323 : 1, 17, 19, 323

119 : 1, 7, 17, 119

822 : 1, 2, 3, 6, 137, 274, 411, 822

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 216,323,119,822,460, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

323:17x 19

119:7x 17

822:2x 3x 137

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 3139300463040/(1x408)

LCM = 3139300463040/408

LCM = 7694363880

Thus, we can understand that the LCM of 216,323,119,822,460 is 7694363880.

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

• LCM of 341, 123, 464, 335, 474
• LCM of 799, 873, 825, 258, 170
• LCM of 265, 152, 294, 526, 312
• LCM of 351, 999, 784, 502, 346
• LCM of 652, 796, 417, 590, 784

1. What is the LCM of 216, 323, 119, 822, 460?

Answer: LCM of 216, 323, 119, 822, 460 is 7694363880.

2. How to calculate the LCM of 216, 323, 119, 822, 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 216, 323, 119, 822, 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}.