Given numbers are 336,461,621,363,920

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

The LCM of 336,461,621,363,920 is 19398400560.

Find LCM of 336,461,621,363,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 14 x 461 x 9 x 121 x 5 = 19398400560

Therefore, the lowest common multiple of 336,461,621,363,920 is 19398400560.

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.

336 x 461 x 621 x 363 x 920 = 32123751327360

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

461 : 1, 461

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,461,621,363,920, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

461:461

621:3x 3x 3x 23

363:3x 11x 11

920:2x 2x 2x 5x 23

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 23 = 1656

Therefore, the value for common factors is 1656.

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 = 32123751327360/(1x1656)

LCM = 32123751327360/1656

LCM = 19398400560

Thus, we can understand that the LCM of 336,461,621,363,920 is 19398400560.

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

• LCM of 689, 523, 670, 776, 317
• LCM of 475, 961, 114, 884, 898
• LCM of 237, 282, 254, 499, 360
• LCM of 798, 969, 683, 925, 408
• LCM of 448, 853, 372, 881, 462

1. What is the LCM of 336, 461, 621, 363, 920?

Answer: LCM of 336, 461, 621, 363, 920 is 19398400560.

2. How to calculate the LCM of 336, 461, 621, 363, 920?

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 336, 461, 621, 363, 920.

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}.