Given numbers are 138,454,646,204,660

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

The LCM of 138,454,646,204,660 is 1113012780.

Find LCM of 138,454,646,204,660 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 227 x 19 x 1 x 55 = 1113012780

Therefore, the lowest common multiple of 138,454,646,204,660 is 1113012780.

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.

138 x 454 x 646 x 204 x 660 = 5449310570880

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

454 : 1, 2, 227, 454

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,454,646,204,660, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

454:2x 227

646:2x 17x 19

204:2x 2x 3x 17

660:2x 2x 3x 5x 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 17 = 2448

Therefore, the value for common factors is 2448.

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 = 5449310570880/(2x2448)

LCM = 5449310570880/4896

LCM = 1113012780

Thus, we can understand that the LCM of 138,454,646,204,660 is 1113012780.

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

• LCM of 997, 432, 384, 128, 949
• LCM of 371, 342, 174, 316, 601
• LCM of 723, 522, 435, 359, 884
• LCM of 132, 528, 387, 433, 216
• LCM of 666, 625, 649, 460, 797

1. What is the LCM of 138, 454, 646, 204, 660?

Answer: LCM of 138, 454, 646, 204, 660 is 1113012780.

2. How to calculate the LCM of 138, 454, 646, 204, 660?

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 138, 454, 646, 204, 660.

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}.