Given numbers are 412,442,675

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

The LCM of 412,442,675 is 61460100.

Find LCM of 412,442,675 with Prime Factorization

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

2 x 206 x 221 x 675 = 61460100

Therefore, the lowest common multiple of 412,442,675 is 61460100.

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 442 x 675 = 122920200

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,442,675, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

442:2x 13x 17

675:3x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 122920200/(1x2)

LCM = 122920200/2

LCM = 61460100

Thus, we can understand that the LCM of 412,442,675 is 61460100.

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

• LCM of 763, 691, 963
• LCM of 628, 375, 812
• LCM of 609, 996, 405
• LCM of 160, 551, 312
• LCM of 166, 476, 192

1. What is the LCM of 412, 442, 675?

Answer: LCM of 412, 442, 675 is 61460100.

2. How to calculate the LCM of 412, 442, 675?

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, 442, 675.

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}.