Given numbers are 808,286,416,985,149

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

The LCM of 808,286,416,985,149 is 67831260640.

Find LCM of 808,286,416,985,149 with Prime Factorization

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

2 x 2 x 2 x 13 x 101 x 11 x 4 x 985 x 149 = 67831260640

Therefore, the lowest common multiple of 808,286,416,985,149 is 67831260640.

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.

808 x 286 x 416 x 985 x 149 = 14108902213120

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

286 : 1, 2, 11, 13, 22, 26, 143, 286

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

985 : 1, 5, 197, 985

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,286,416,985,149, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

286:2x 11x 13

416:2x 2x 2x 2x 2x 13

985:5x 197

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 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 14108902213120/(1x208)

LCM = 14108902213120/208

LCM = 67831260640

Thus, we can understand that the LCM of 808,286,416,985,149 is 67831260640.

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

• LCM of 748, 930, 739, 996, 376
• LCM of 321, 257, 867, 238, 705
• LCM of 613, 152, 837, 747, 109
• LCM of 188, 179, 212, 538, 622
• LCM of 357, 855, 245, 683, 277

1. What is the LCM of 808, 286, 416, 985, 149?

Answer: LCM of 808, 286, 416, 985, 149 is 67831260640.

2. How to calculate the LCM of 808, 286, 416, 985, 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 808, 286, 416, 985, 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}.