Given numbers are 406,360,390,937,810

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

The LCM of 406,360,390,937,810 is 8011687320.

Find LCM of 406,360,390,937,810 with Prime Factorization

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

2 x 3 x 3 x 5 x 203 x 4 x 13 x 937 x 9 = 8011687320

Therefore, the lowest common multiple of 406,360,390,937,810 is 8011687320.

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.

406 x 360 x 390 x 937 x 810 = 43263111528000

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

937 : 1, 937

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 406,360,390,937,810, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

360:2x 2x 2x 3x 3x 5

390:2x 3x 5x 13

937:937

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 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 43263111528000/(1x5400)

LCM = 43263111528000/5400

LCM = 8011687320

Thus, we can understand that the LCM of 406,360,390,937,810 is 8011687320.

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

• LCM of 459, 720, 570, 134, 238
• LCM of 176, 612, 386, 872, 359
• LCM of 245, 324, 308, 526, 468
• LCM of 162, 537, 955, 387, 596
• LCM of 645, 844, 320, 656, 364

1. What is the LCM of 406, 360, 390, 937, 810?

Answer: LCM of 406, 360, 390, 937, 810 is 8011687320.

2. How to calculate the LCM of 406, 360, 390, 937, 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 406, 360, 390, 937, 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}.