Given numbers are 586,115,105,115

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

The LCM of 586,115,105,115 is 1415190.

Find LCM of 586,115,105,115 with Prime Factorization

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

5 x 23 x 586 x 1 x 21 x 1 = 1415190

Therefore, the lowest common multiple of 586,115,105,115 is 1415190.

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.

586 x 115 x 105 x 115 = 813734250

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.

586 : 1, 2, 293, 586

115 : 1, 5, 23, 115

105 : 1, 3, 5, 7, 15, 21, 35, 105

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,115,105,115, is 1.

Now, the common factors can be found like this.

586:2x 293

115:5x 23

105:3x 5x 7

115:5x 23

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 813734250/(1x575)

LCM = 813734250/575

LCM = 1415190

Thus, we can understand that the LCM of 586,115,105,115 is 1415190.

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

• LCM of 732, 786, 783, 244
• LCM of 858, 965, 109, 538
• LCM of 856, 709, 350, 680
• LCM of 821, 808, 801, 660
• LCM of 204, 234, 976, 526

1. What is the LCM of 586, 115, 105, 115?

Answer: LCM of 586, 115, 105, 115 is 1415190.

2. How to calculate the LCM of 586, 115, 105, 115?

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 586, 115, 105, 115.

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}.