Given numbers are 912,135,413,586

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

The LCM of 912,135,413,586 is 4966209360.

Find LCM of 912,135,413,586 with Prime Factorization

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

2 x 3 x 152 x 45 x 413 x 293 = 4966209360

Therefore, the lowest common multiple of 912,135,413,586 is 4966209360.

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.

912 x 135 x 413 x 586 = 29797256160

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

135 : 1, 3, 5, 9, 15, 27, 45, 135

413 : 1, 7, 59, 413

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,135,413,586, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

135:3x 3x 3x 5

413:7x 59

586:2x 293

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 29797256160/(1x6)

LCM = 29797256160/6

LCM = 4966209360

Thus, we can understand that the LCM of 912,135,413,586 is 4966209360.

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

• LCM of 979, 955, 801, 312
• LCM of 485, 615, 167, 257
• LCM of 980, 407, 710, 627
• LCM of 463, 767, 176, 827
• LCM of 868, 856, 344, 116

1. What is the LCM of 912, 135, 413, 586?

Answer: LCM of 912, 135, 413, 586 is 4966209360.

2. How to calculate the LCM of 912, 135, 413, 586?

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 912, 135, 413, 586.

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}.