Given numbers are 198,585,692,258,966

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

The LCM of 198,585,692,258,966 is 30828257460.

Find LCM of 198,585,692,258,966 with Prime Factorization

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

2 x 3 x 3 x 11 x 65 x 346 x 43 x 161 = 30828257460

Therefore, the lowest common multiple of 198,585,692,258,966 is 30828257460.

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 585 x 692 x 258 x 966 = 19976710834080

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

692 : 1, 2, 4, 173, 346, 692

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,585,692,258,966, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

585:3x 3x 5x 13

692:2x 2x 173

258:2x 3x 43

966:2x 3x 7x 23

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 3 = 648

Therefore, the value for common factors is 648.

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 = 19976710834080/(1x648)

LCM = 19976710834080/648

LCM = 30828257460

Thus, we can understand that the LCM of 198,585,692,258,966 is 30828257460.

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

• LCM of 752, 363, 681, 464, 534
• LCM of 123, 883, 773, 281, 951
• LCM of 987, 812, 701, 970, 993
• LCM of 627, 605, 684, 444, 335
• LCM of 668, 361, 916, 208, 253

1. What is the LCM of 198, 585, 692, 258, 966?

Answer: LCM of 198, 585, 692, 258, 966 is 30828257460.

2. How to calculate the LCM of 198, 585, 692, 258, 966?

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, 585, 692, 258, 966.

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}.