Given numbers are 129,257,246,270,264

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

The LCM of 129,257,246,270,264 is 5382721080.

Find LCM of 129,257,246,270,264 with Prime Factorization

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

2 x 3 x 43 x 257 x 41 x 45 x 44 = 5382721080

Therefore, the lowest common multiple of 129,257,246,270,264 is 5382721080.

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.

129 x 257 x 246 x 270 x 264 = 581333876640

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.

129 : 1, 3, 43, 129

257 : 1, 257

246 : 1, 2, 3, 6, 41, 82, 123, 246

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,257,246,270,264, is 1.

Now, the common factors can be found like this.

129:3x 43

257:257

246:2x 3x 41

270:2x 3x 3x 3x 5

264:2x 2x 2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 581333876640/(1x108)

LCM = 581333876640/108

LCM = 5382721080

Thus, we can understand that the LCM of 129,257,246,270,264 is 5382721080.

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

• LCM of 426, 475, 826, 882, 662
• LCM of 715, 764, 849, 515, 296
• LCM of 309, 766, 164, 842, 105
• LCM of 768, 957, 258, 617, 765
• LCM of 744, 951, 926, 778, 190

1. What is the LCM of 129, 257, 246, 270, 264?

Answer: LCM of 129, 257, 246, 270, 264 is 5382721080.

2. How to calculate the LCM of 129, 257, 246, 270, 264?

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 129, 257, 246, 270, 264.

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}.