Given numbers are 986,102,836,208,812

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

The LCM of 986,102,836,208,812 is 450065616.

Find LCM of 986,102,836,208,812 with Prime Factorization

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

2 x 2 x 17 x 29 x 1 x 3 x 209 x 52 x 7 = 450065616

Therefore, the lowest common multiple of 986,102,836,208,812 is 450065616.

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.

986 x 102 x 836 x 208 x 812 = 14200470316032

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

102 : 1, 2, 3, 6, 17, 34, 51, 102

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,102,836,208,812, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

102:2x 3x 17

836:2x 2x 11x 19

208:2x 2x 2x 2x 13

812:2x 2x 7x 29

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 17x 29 = 15776

Therefore, the value for common factors is 15776.

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 = 14200470316032/(2x15776)

LCM = 14200470316032/31552

LCM = 450065616

Thus, we can understand that the LCM of 986,102,836,208,812 is 450065616.

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

• LCM of 308, 614, 942, 133, 646
• LCM of 136, 329, 877, 837, 521
• LCM of 277, 876, 651, 366, 392
• LCM of 169, 438, 145, 818, 749
• LCM of 773, 600, 119, 609, 834

1. What is the LCM of 986, 102, 836, 208, 812?

Answer: LCM of 986, 102, 836, 208, 812 is 450065616.

2. How to calculate the LCM of 986, 102, 836, 208, 812?

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 986, 102, 836, 208, 812.

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}.