Given numbers are 323,563,272,270,149

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

The LCM of 323,563,272,270,149 is 58526282160.

Find LCM of 323,563,272,270,149 with Prime Factorization

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

2 x 17 x 19 x 563 x 8 x 135 x 149 = 58526282160

Therefore, the lowest common multiple of 323,563,272,270,149 is 58526282160.

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.

323 x 563 x 272 x 270 x 149 = 1989893593440

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.

323 : 1, 17, 19, 323

563 : 1, 563

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,563,272,270,149, is 1.

Now, the common factors can be found like this.

323:17x 19

563:563

272:2x 2x 2x 2x 17

270:2x 3x 3x 3x 5

149:149

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1989893593440/(1x34)

LCM = 1989893593440/34

LCM = 58526282160

Thus, we can understand that the LCM of 323,563,272,270,149 is 58526282160.

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

• LCM of 487, 412, 625, 232, 177
• LCM of 900, 387, 197, 139, 685
• LCM of 997, 337, 503, 714, 702
• LCM of 498, 997, 285, 927, 588
• LCM of 165, 713, 189, 734, 671

1. What is the LCM of 323, 563, 272, 270, 149?

Answer: LCM of 323, 563, 272, 270, 149 is 58526282160.

2. How to calculate the LCM of 323, 563, 272, 270, 149?

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 323, 563, 272, 270, 149.

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}.