Given numbers are 386,684,396,414

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

The LCM of 386,684,396,414 is 33399036.

Find LCM of 386,684,396,414 with Prime Factorization

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

2 x 2 x 3 x 3 x 193 x 19 x 11 x 23 = 33399036

Therefore, the lowest common multiple of 386,684,396,414 is 33399036.

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.

386 x 684 x 396 x 414 = 43285150656

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.

386 : 1, 2, 193, 386

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,684,396,414, is 2.

Now, the common factors can be found like this.

386:2x 193

684:2x 2x 3x 3x 19

396:2x 2x 3x 3x 11

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 43285150656/(2x648)

LCM = 43285150656/1296

LCM = 33399036

Thus, we can understand that the LCM of 386,684,396,414 is 33399036.

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

• LCM of 891, 183, 920, 131
• LCM of 329, 618, 362, 417
• LCM of 257, 670, 975, 365
• LCM of 912, 260, 983, 105
• LCM of 540, 617, 625, 993

1. What is the LCM of 386, 684, 396, 414?

Answer: LCM of 386, 684, 396, 414 is 33399036.

2. How to calculate the LCM of 386, 684, 396, 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 386, 684, 396, 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}.