Given numbers are 104,413,312,417

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

The LCM of 104,413,312,417 is 17910984.

Find LCM of 104,413,312,417 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 413 x 1 x 139 = 17910984

Therefore, the lowest common multiple of 104,413,312,417 is 17910984.

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.

104 x 413 x 312 x 417 = 5588227008

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

413 : 1, 7, 59, 413

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,413,312,417, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

413:7x 59

312:2x 2x 2x 3x 13

417:3x 139

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 5588227008/(1x312)

LCM = 5588227008/312

LCM = 17910984

Thus, we can understand that the LCM of 104,413,312,417 is 17910984.

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

• LCM of 303, 365, 113, 498
• LCM of 112, 254, 341, 807
• LCM of 634, 447, 507, 125
• LCM of 466, 930, 493, 837
• LCM of 282, 902, 187, 833

1. What is the LCM of 104, 413, 312, 417?

Answer: LCM of 104, 413, 312, 417 is 17910984.

2. How to calculate the LCM of 104, 413, 312, 417?

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 104, 413, 312, 417.

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}.