Given numbers are 198,348,258,684,325

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

The LCM of 198,348,258,684,325 is 3049289100.

Find LCM of 198,348,258,684,325 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 29 x 43 x 19 x 325 = 3049289100

Therefore, the lowest common multiple of 198,348,258,684,325 is 3049289100.

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 348 x 258 x 684 x 325 = 3951878673600

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,348,258,684,325, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

348:2x 2x 3x 29

258:2x 3x 43

684:2x 2x 3x 3x 19

325:5x 5x 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 2x 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 3951878673600/(1x1296)

LCM = 3951878673600/1296

LCM = 3049289100

Thus, we can understand that the LCM of 198,348,258,684,325 is 3049289100.

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

• LCM of 433, 314, 253, 427, 222
• LCM of 955, 136, 287, 521, 626
• LCM of 635, 154, 148, 405, 929
• LCM of 331, 379, 689, 280, 980
• LCM of 580, 711, 835, 269, 499

1. What is the LCM of 198, 348, 258, 684, 325?

Answer: LCM of 198, 348, 258, 684, 325 is 3049289100.

2. How to calculate the LCM of 198, 348, 258, 684, 325?

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, 348, 258, 684, 325.

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}.