Given numbers are 2217,3105

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

The LCM of 2217,3105 is 2294595.

Find LCM of 2217,3105 with Prime Factorization

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

3 x 739 x 1035 = 2294595

Therefore, the lowest common multiple of 2217,3105 is 2294595.

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.

2217 x 3105 = 6883785

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.

2217 : 1, 3, 739, 2217

3105 : 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2217,3105, is 3.

Now, the common factors can be found like this.

2217:3x 739

3105:3x 3x 3x 5x 23

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

= 1

Therefore, the value for common factors is 1.

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 = 6883785/(3x1)

LCM = 6883785/3

LCM = 2294595

Thus, we can understand that the LCM of 2217,3105 is 2294595.

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

• LCM of 1833, 5342
• LCM of 1342, 2344
• LCM of 4529, 1438
• LCM of 2121, 3326
• LCM of 2445, 4990

1. What is the LCM of 2217, 3105?

Answer: LCM of 2217, 3105 is 2294595.

2. How to calculate the LCM of 2217, 3105?

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 2217, 3105.

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}.