Given numbers are 864,260,257,388

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

The LCM of 864,260,257,388 is 1400012640.

Find LCM of 864,260,257,388 with Prime Factorization

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

2 x 2 x 216 x 65 x 257 x 97 = 1400012640

Therefore, the lowest common multiple of 864,260,257,388 is 1400012640.

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.

864 x 260 x 257 x 388 = 22400202240

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

257 : 1, 257

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,260,257,388, is 1.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

260:2x 2x 5x 13

257:257

388:2x 2x 97

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 2 = 16

Therefore, the value for common factors is 16.

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 = 22400202240/(1x16)

LCM = 22400202240/16

LCM = 1400012640

Thus, we can understand that the LCM of 864,260,257,388 is 1400012640.

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

• LCM of 357, 946, 198, 246
• LCM of 648, 344, 314, 283
• LCM of 212, 140, 510, 170
• LCM of 785, 602, 987, 164
• LCM of 839, 861, 677, 839

1. What is the LCM of 864, 260, 257, 388?

Answer: LCM of 864, 260, 257, 388 is 1400012640.

2. How to calculate the LCM of 864, 260, 257, 388?

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 864, 260, 257, 388.

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}.