Given numbers are 204,129,102,114,792

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

The LCM of 204,129,102,114,792 is 11000088.

Find LCM of 204,129,102,114,792 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 43 x 1 x 19 x 66 = 11000088

Therefore, the lowest common multiple of 204,129,102,114,792 is 11000088.

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.

204 x 129 x 102 x 114 x 792 = 242353938816

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

129 : 1, 3, 43, 129

102 : 1, 2, 3, 6, 17, 34, 51, 102

114 : 1, 2, 3, 6, 19, 38, 57, 114

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,129,102,114,792, is 3.

Now, the common factors can be found like this.

204:2x 2x 3x 17

129:3x 43

102:2x 3x 17

114:2x 3x 19

792:2x 2x 2x 3x 3x 11

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 17 = 7344

Therefore, the value for common factors is 7344.

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 = 242353938816/(3x7344)

LCM = 242353938816/22032

LCM = 11000088

Thus, we can understand that the LCM of 204,129,102,114,792 is 11000088.

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

• LCM of 866, 536, 233, 252, 961
• LCM of 425, 342, 391, 991, 483
• LCM of 798, 585, 850, 101, 625
• LCM of 526, 173, 388, 159, 553
• LCM of 815, 550, 183, 161, 198

1. What is the LCM of 204, 129, 102, 114, 792?

Answer: LCM of 204, 129, 102, 114, 792 is 11000088.

2. How to calculate the LCM of 204, 129, 102, 114, 792?

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 204, 129, 102, 114, 792.

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}.