Given numbers are 463,382,523,198,816

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

The LCM of 463,382,523,198,816 is 1245432359952.

Find LCM of 463,382,523,198,816 with Prime Factorization

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

2 x 3 x 463 x 191 x 523 x 33 x 136 = 1245432359952

Therefore, the lowest common multiple of 463,382,523,198,816 is 1245432359952.

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.

463 x 382 x 523 x 198 x 816 = 14945188319424

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.

463 : 1, 463

382 : 1, 2, 191, 382

523 : 1, 523

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,382,523,198,816, is 1.

Now, the common factors can be found like this.

463:463

382:2x 191

523:523

198:2x 3x 3x 11

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

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 3 = 12

Therefore, the value for common factors is 12.

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 = 14945188319424/(1x12)

LCM = 14945188319424/12

LCM = 1245432359952

Thus, we can understand that the LCM of 463,382,523,198,816 is 1245432359952.

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

• LCM of 112, 360, 785, 275, 857
• LCM of 760, 490, 481, 604, 410
• LCM of 990, 464, 527, 508, 175
• LCM of 674, 699, 982, 644, 464
• LCM of 515, 218, 761, 590, 635

1. What is the LCM of 463, 382, 523, 198, 816?

Answer: LCM of 463, 382, 523, 198, 816 is 1245432359952.

2. How to calculate the LCM of 463, 382, 523, 198, 816?

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 463, 382, 523, 198, 816.

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}.