Given numbers are 488,104,878,136,214

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

The LCM of 488,104,878,136,214 is 5065944104.

Find LCM of 488,104,878,136,214 with Prime Factorization

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

2 x 2 x 2 x 61 x 13 x 439 x 17 x 107 = 5065944104

Therefore, the lowest common multiple of 488,104,878,136,214 is 5065944104.

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.

488 x 104 x 878 x 136 x 214 = 1296881690624

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

104 : 1, 2, 4, 8, 13, 26, 52, 104

878 : 1, 2, 439, 878

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,104,878,136,214, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

104:2x 2x 2x 13

878:2x 439

136:2x 2x 2x 17

214:2x 107

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 1296881690624/(2x128)

LCM = 1296881690624/256

LCM = 5065944104

Thus, we can understand that the LCM of 488,104,878,136,214 is 5065944104.

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

• LCM of 886, 412, 783, 317, 178
• LCM of 725, 674, 473, 869, 415
• LCM of 595, 555, 674, 413, 158
• LCM of 515, 152, 447, 741, 962
• LCM of 614, 328, 176, 681, 215

1. What is the LCM of 488, 104, 878, 136, 214?

Answer: LCM of 488, 104, 878, 136, 214 is 5065944104.

2. How to calculate the LCM of 488, 104, 878, 136, 214?

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 488, 104, 878, 136, 214.

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}.