Given numbers are 720,435,684,417,198

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

The LCM of 720,435,684,417,198 is 606584880.

Find LCM of 720,435,684,417,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 4 x 29 x 19 x 139 x 11 = 606584880

Therefore, the lowest common multiple of 720,435,684,417,198 is 606584880.

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.

720 x 435 x 684 x 417 x 198 = 17688015100800

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

435 : 1, 3, 5, 15, 29, 87, 145, 435

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

417 : 1, 3, 139, 417

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,435,684,417,198, is 3.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

435:3x 5x 29

684:2x 2x 3x 3x 19

417:3x 139

198:2x 3x 3x 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 2x 3x 3x 3x 3x 3x 5 = 9720

Therefore, the value for common factors is 9720.

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 = 17688015100800/(3x9720)

LCM = 17688015100800/29160

LCM = 606584880

Thus, we can understand that the LCM of 720,435,684,417,198 is 606584880.

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

• LCM of 283, 462, 631, 943, 973
• LCM of 487, 819, 892, 157, 787
• LCM of 379, 140, 535, 362, 607
• LCM of 182, 918, 973, 698, 137
• LCM of 213, 752, 136, 431, 370

1. What is the LCM of 720, 435, 684, 417, 198?

Answer: LCM of 720, 435, 684, 417, 198 is 606584880.

2. How to calculate the LCM of 720, 435, 684, 417, 198?

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 720, 435, 684, 417, 198.

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}.