Given numbers are 646,417,414

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

The LCM of 646,417,414 is 18587358.

Find LCM of 646,417,414 with Prime Factorization

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

2 x 3 x 323 x 139 x 69 = 18587358

Therefore, the lowest common multiple of 646,417,414 is 18587358.

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.

646 x 417 x 414 = 111524148

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

417 : 1, 3, 139, 417

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 646,417,414, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

417:3x 139

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 3 = 6

Therefore, the value for common factors is 6.

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 = 111524148/(1x6)

LCM = 111524148/6

LCM = 18587358

Thus, we can understand that the LCM of 646,417,414 is 18587358.

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

• LCM of 959, 773, 513
• LCM of 693, 964, 769
• LCM of 145, 301, 632
• LCM of 628, 539, 459
• LCM of 655, 192, 317

1. What is the LCM of 646, 417, 414?

Answer: LCM of 646, 417, 414 is 18587358.

2. How to calculate the LCM of 646, 417, 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 646, 417, 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}.