Given numbers are 432,108,198,684,409

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

The LCM of 432,108,198,684,409 is 36927792.

Find LCM of 432,108,198,684,409 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 4 x 1 x 11 x 19 x 409 = 36927792

Therefore, the lowest common multiple of 432,108,198,684,409 is 36927792.

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.

432 x 108 x 198 x 684 x 409 = 2584354595328

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,108,198,684,409, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

108:2x 2x 3x 3x 3

198:2x 3x 3x 11

684:2x 2x 3x 3x 19

409:409

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 2x 2x 3x 3x 3x 3x 3x 3x 3 = 69984

Therefore, the value for common factors is 69984.

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 = 2584354595328/(1x69984)

LCM = 2584354595328/69984

LCM = 36927792

Thus, we can understand that the LCM of 432,108,198,684,409 is 36927792.

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

• LCM of 457, 953, 404, 829, 936
• LCM of 144, 818, 791, 814, 469
• LCM of 569, 577, 822, 839, 682
• LCM of 295, 929, 950, 631, 683
• LCM of 771, 978, 317, 872, 854

1. What is the LCM of 432, 108, 198, 684, 409?

Answer: LCM of 432, 108, 198, 684, 409 is 36927792.

2. How to calculate the LCM of 432, 108, 198, 684, 409?

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 432, 108, 198, 684, 409.

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}.