Given numbers are 104,338,156,186,309

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

The LCM of 104,338,156,186,309 is 12950808.

Find LCM of 104,338,156,186,309 with Prime Factorization

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

2 x 2 x 3 x 13 x 2 x 1 x 13 x 31 x 103 = 12950808

Therefore, the lowest common multiple of 104,338,156,186,309 is 12950808.

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 338 x 156 x 186 x 309 = 315170863488

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

338 : 1, 2, 13, 26, 169, 338

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

186 : 1, 2, 3, 6, 31, 62, 93, 186

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,338,156,186,309, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

338:2x 13x 13

156:2x 2x 3x 13

186:2x 3x 31

309:3x 103

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 2x 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 315170863488/(1x24336)

LCM = 315170863488/24336

LCM = 12950808

Thus, we can understand that the LCM of 104,338,156,186,309 is 12950808.

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

• LCM of 508, 778, 757, 383, 602
• LCM of 231, 524, 417, 859, 411
• LCM of 679, 812, 247, 277, 229
• LCM of 210, 949, 871, 154, 275
• LCM of 285, 939, 939, 342, 550

1. What is the LCM of 104, 338, 156, 186, 309?

Answer: LCM of 104, 338, 156, 186, 309 is 12950808.

2. How to calculate the LCM of 104, 338, 156, 186, 309?

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, 338, 156, 186, 309.

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}.