Given numbers are 198,559,689,635,624

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

The LCM of 198,559,689,635,624 is 29800021680.

Find LCM of 198,559,689,635,624 with Prime Factorization

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

2 x 3 x 13 x 33 x 43 x 53 x 635 x 8 = 29800021680

Therefore, the lowest common multiple of 198,559,689,635,624 is 29800021680.

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 559 x 689 x 635 x 624 = 30217221983520

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

559 : 1, 13, 43, 559

689 : 1, 13, 53, 689

635 : 1, 5, 127, 635

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,559,689,635,624, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

559:13x 43

689:13x 53

635:5x 127

624:2x 2x 2x 2x 3x 13

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

2x 3x 13x 13 = 1014

Therefore, the value for common factors is 1014.

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 = 30217221983520/(1x1014)

LCM = 30217221983520/1014

LCM = 29800021680

Thus, we can understand that the LCM of 198,559,689,635,624 is 29800021680.

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

• LCM of 385, 120, 697, 951, 112
• LCM of 350, 190, 204, 898, 621
• LCM of 553, 158, 219, 814, 807
• LCM of 162, 743, 286, 978, 845
• LCM of 441, 342, 279, 521, 822

1. What is the LCM of 198, 559, 689, 635, 624?

Answer: LCM of 198, 559, 689, 635, 624 is 29800021680.

2. How to calculate the LCM of 198, 559, 689, 635, 624?

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, 559, 689, 635, 624.

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}.