Given numbers are 810,363,230,660

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

The LCM of 810,363,230,660 is 4508460.

Find LCM of 810,363,230,660 with Prime Factorization

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

2 x 3 x 5 x 11 x 27 x 11 x 23 x 2 = 4508460

Therefore, the lowest common multiple of 810,363,230,660 is 4508460.

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 363 x 230 x 660 = 44633754000

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

363 : 1, 3, 11, 33, 121, 363

230 : 1, 2, 5, 10, 23, 46, 115, 230

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,363,230,660, is 1.

Now, the common factors can be found like this.

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

363:3x 11x 11

230:2x 5x 23

660:2x 2x 3x 5x 11

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 3x 5x 5x 11 = 9900

Therefore, the value for common factors is 9900.

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 = 44633754000/(1x9900)

LCM = 44633754000/9900

LCM = 4508460

Thus, we can understand that the LCM of 810,363,230,660 is 4508460.

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

• LCM of 965, 313, 293, 811
• LCM of 510, 464, 912, 119
• LCM of 532, 844, 432, 526
• LCM of 676, 195, 312, 487
• LCM of 344, 483, 520, 620

1. What is the LCM of 810, 363, 230, 660?

Answer: LCM of 810, 363, 230, 660 is 4508460.

2. How to calculate the LCM of 810, 363, 230, 660?

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, 363, 230, 660.

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}.