Given numbers are 396,535,816,810

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

The LCM of 396,535,816,810 is 129658320.

Find LCM of 396,535,816,810 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 107 x 68 x 9 = 129658320

Therefore, the lowest common multiple of 396,535,816,810 is 129658320.

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.

396 x 535 x 816 x 810 = 140030985600

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

535 : 1, 5, 107, 535

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,535,816,810, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

535:5x 107

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

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

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 140030985600/(1x1080)

LCM = 140030985600/1080

LCM = 129658320

Thus, we can understand that the LCM of 396,535,816,810 is 129658320.

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

• LCM of 414, 452, 746, 120
• LCM of 946, 223, 990, 333
• LCM of 361, 120, 729, 103
• LCM of 593, 407, 538, 155
• LCM of 423, 250, 164, 515

1. What is the LCM of 396, 535, 816, 810?

Answer: LCM of 396, 535, 816, 810 is 129658320.

2. How to calculate the LCM of 396, 535, 816, 810?

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 396, 535, 816, 810.

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}.