Given numbers are 810,195,464,213,807

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

The LCM of 810,195,464,213,807 is 46658093040.

Find LCM of 810,195,464,213,807 with Prime Factorization

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

2 x 3 x 5 x 27 x 13 x 232 x 71 x 269 = 46658093040

Therefore, the lowest common multiple of 810,195,464,213,807 is 46658093040.

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.

810 x 195 x 464 x 213 x 807 = 12597685120800

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

195 : 1, 3, 5, 13, 15, 39, 65, 195

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

213 : 1, 3, 71, 213

807 : 1, 3, 269, 807

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,195,464,213,807, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

195:3x 5x 13

464:2x 2x 2x 2x 29

213:3x 71

807:3x 269

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 12597685120800/(1x270)

LCM = 12597685120800/270

LCM = 46658093040

Thus, we can understand that the LCM of 810,195,464,213,807 is 46658093040.

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

• LCM of 192, 883, 401, 961, 330
• LCM of 849, 962, 840, 123, 272
• LCM of 765, 253, 288, 725, 452
• LCM of 764, 798, 621, 699, 923
• LCM of 175, 865, 790, 942, 149

1. What is the LCM of 810, 195, 464, 213, 807?

Answer: LCM of 810, 195, 464, 213, 807 is 46658093040.

2. How to calculate the LCM of 810, 195, 464, 213, 807?

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 810, 195, 464, 213, 807.

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}.