Given numbers are 308,258,394,612,578

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

The LCM of 308,258,394,612,578 is 6786185868.

Find LCM of 308,258,394,612,578 with Prime Factorization

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

2 x 2 x 3 x 17 x 77 x 43 x 197 x 3 x 17 = 6786185868

Therefore, the lowest common multiple of 308,258,394,612,578 is 6786185868.

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.

308 x 258 x 394 x 612 x 578 = 11075055336576

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

258 : 1, 2, 3, 6, 43, 86, 129, 258

394 : 1, 2, 197, 394

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,258,394,612,578, is 2.

Now, the common factors can be found like this.

308:2x 2x 7x 11

258:2x 3x 43

394:2x 197

612:2x 2x 3x 3x 17

578:2x 17x 17

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 17 = 816

Therefore, the value for common factors is 816.

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 = 11075055336576/(2x816)

LCM = 11075055336576/1632

LCM = 6786185868

Thus, we can understand that the LCM of 308,258,394,612,578 is 6786185868.

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

• LCM of 464, 234, 525, 376, 242
• LCM of 300, 687, 802, 833, 507
• LCM of 730, 760, 808, 605, 193
• LCM of 459, 714, 631, 386, 535
• LCM of 455, 817, 792, 988, 493

1. What is the LCM of 308, 258, 394, 612, 578?

Answer: LCM of 308, 258, 394, 612, 578 is 6786185868.

2. How to calculate the LCM of 308, 258, 394, 612, 578?

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 308, 258, 394, 612, 578.

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}.