Given numbers are 198,172,537,259

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

The LCM of 198,172,537,259 is 789435108.

Find LCM of 198,172,537,259 with Prime Factorization

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

2 x 3 x 33 x 86 x 179 x 259 = 789435108

Therefore, the lowest common multiple of 198,172,537,259 is 789435108.

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 172 x 537 x 259 = 4736610648

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

172 : 1, 2, 4, 43, 86, 172

537 : 1, 3, 179, 537

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,172,537,259, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

172:2x 2x 43

537:3x 179

259:7x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4736610648/(1x6)

LCM = 4736610648/6

LCM = 789435108

Thus, we can understand that the LCM of 198,172,537,259 is 789435108.

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

• LCM of 288, 625, 909, 105
• LCM of 258, 704, 893, 410
• LCM of 403, 860, 970, 649
• LCM of 739, 670, 187, 339
• LCM of 228, 520, 422, 610

1. What is the LCM of 198, 172, 537, 259?

Answer: LCM of 198, 172, 537, 259 is 789435108.

2. How to calculate the LCM of 198, 172, 537, 259?

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, 172, 537, 259.

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}.