Given numbers are 309,465,104,993,865

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

The LCM of 309,465,104,993,865 is 285231584040.

Find LCM of 309,465,104,993,865 with Prime Factorization

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

3 x 5 x 103 x 31 x 104 x 331 x 173 = 285231584040

Therefore, the lowest common multiple of 309,465,104,993,865 is 285231584040.

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.

309 x 465 x 104 x 993 x 865 = 12835421281800

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.

309 : 1, 3, 103, 309

465 : 1, 3, 5, 15, 31, 93, 155, 465

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

993 : 1, 3, 331, 993

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,465,104,993,865, is 1.

Now, the common factors can be found like this.

309:3x 103

465:3x 5x 31

104:2x 2x 2x 13

993:3x 331

865:5x 173

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 12835421281800/(1x45)

LCM = 12835421281800/45

LCM = 285231584040

Thus, we can understand that the LCM of 309,465,104,993,865 is 285231584040.

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

• LCM of 927, 871, 332, 333, 289
• LCM of 399, 734, 164, 368, 730
• LCM of 139, 748, 689, 348, 636
• LCM of 105, 333, 915, 661, 998
• LCM of 258, 142, 520, 140, 189

1. What is the LCM of 309, 465, 104, 993, 865?

Answer: LCM of 309, 465, 104, 993, 865 is 285231584040.

2. How to calculate the LCM of 309, 465, 104, 993, 865?

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 309, 465, 104, 993, 865.

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}.