Given numbers are 676,396,639,166,414

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

The LCM of 676,396,639,166,414 is 9070812036.

Find LCM of 676,396,639,166,414 with Prime Factorization

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

2 x 2 x 3 x 3 x 169 x 11 x 71 x 83 x 23 = 9070812036

Therefore, the lowest common multiple of 676,396,639,166,414 is 9070812036.

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.

676 x 396 x 639 x 166 x 414 = 11755772398656

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

639 : 1, 3, 9, 71, 213, 639

166 : 1, 2, 83, 166

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,396,639,166,414, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

396:2x 2x 3x 3x 11

639:3x 3x 71

166:2x 83

414:2x 3x 3x 23

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 11755772398656/(1x1296)

LCM = 11755772398656/1296

LCM = 9070812036

Thus, we can understand that the LCM of 676,396,639,166,414 is 9070812036.

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

• LCM of 371, 311, 720, 579, 661
• LCM of 643, 121, 909, 147, 274
• LCM of 879, 185, 385, 706, 917
• LCM of 677, 771, 372, 417, 501
• LCM of 729, 793, 497, 189, 131

1. What is the LCM of 676, 396, 639, 166, 414?

Answer: LCM of 676, 396, 639, 166, 414 is 9070812036.

2. How to calculate the LCM of 676, 396, 639, 166, 414?

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 676, 396, 639, 166, 414.

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}.