Given numbers are 412,396,688,610

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

The LCM of 412,396,688,610 is 2139738480.

Find LCM of 412,396,688,610 with Prime Factorization

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

2 x 2 x 103 x 99 x 172 x 305 = 2139738480

Therefore, the lowest common multiple of 412,396,688,610 is 2139738480.

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.

412 x 396 x 688 x 610 = 68471631360

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.

412 : 1, 2, 4, 103, 206, 412

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

610 : 1, 2, 5, 10, 61, 122, 305, 610

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,396,688,610, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

396:2x 2x 3x 3x 11

688:2x 2x 2x 2x 43

610:2x 5x 61

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 2 = 16

Therefore, the value for common factors is 16.

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 = 68471631360/(2x16)

LCM = 68471631360/32

LCM = 2139738480

Thus, we can understand that the LCM of 412,396,688,610 is 2139738480.

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

• LCM of 617, 958, 747, 231
• LCM of 173, 538, 668, 216
• LCM of 449, 450, 713, 465
• LCM of 950, 307, 668, 379
• LCM of 422, 868, 459, 830

1. What is the LCM of 412, 396, 688, 610?

Answer: LCM of 412, 396, 688, 610 is 2139738480.

2. How to calculate the LCM of 412, 396, 688, 610?

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 412, 396, 688, 610.

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}.