Given numbers are 198,517,407,217,589

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

The LCM of 198,517,407,217,589 is 1419639606.

Find LCM of 198,517,407,217,589 with Prime Factorization

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

11 x 31 x 18 x 47 x 37 x 7 x 19 = 1419639606

Therefore, the lowest common multiple of 198,517,407,217,589 is 1419639606.

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.

198 x 517 x 407 x 217 x 589 = 5325068162106

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.

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

517 : 1, 11, 47, 517

407 : 1, 11, 37, 407

217 : 1, 7, 31, 217

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,517,407,217,589, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

517:11x 47

407:11x 37

217:7x 31

589:19x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11x 31 = 3751

Therefore, the value for common factors is 3751.

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 = 5325068162106/(1x3751)

LCM = 5325068162106/3751

LCM = 1419639606

Thus, we can understand that the LCM of 198,517,407,217,589 is 1419639606.

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

• LCM of 997, 987, 705, 149, 923
• LCM of 614, 577, 603, 954, 796
• LCM of 653, 281, 167, 650, 692
• LCM of 951, 552, 400, 840, 685
• LCM of 106, 303, 321, 249, 561

1. What is the LCM of 198, 517, 407, 217, 589?

Answer: LCM of 198, 517, 407, 217, 589 is 1419639606.

2. How to calculate the LCM of 198, 517, 407, 217, 589?

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 198, 517, 407, 217, 589.

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}.