Given numbers are 412,206,217,342

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

The LCM of 412,206,217,342 is 15288084.

Find LCM of 412,206,217,342 with Prime Factorization

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

2 x 103 x 2 x 1 x 217 x 171 = 15288084

Therefore, the lowest common multiple of 412,206,217,342 is 15288084.

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 206 x 217 x 342 = 6298690608

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

206 : 1, 2, 103, 206

217 : 1, 7, 31, 217

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,206,217,342, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

206:2x 103

217:7x 31

342:2x 3x 3x 19

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 103 = 412

Therefore, the value for common factors is 412.

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 = 6298690608/(1x412)

LCM = 6298690608/412

LCM = 15288084

Thus, we can understand that the LCM of 412,206,217,342 is 15288084.

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

• LCM of 200, 573, 329, 988
• LCM of 831, 400, 895, 718
• LCM of 117, 505, 995, 962
• LCM of 100, 482, 608, 487
• LCM of 700, 560, 498, 868

1. What is the LCM of 412, 206, 217, 342?

Answer: LCM of 412, 206, 217, 342 is 15288084.

2. How to calculate the LCM of 412, 206, 217, 342?

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, 206, 217, 342.

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}.