Given numbers are 258,696,308,831,564

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

The LCM of 258,696,308,831,564 is 30001712664.

Find LCM of 258,696,308,831,564 with Prime Factorization

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

2 x 2 x 3 x 43 x 58 x 77 x 277 x 47 = 30001712664

Therefore, the lowest common multiple of 258,696,308,831,564 is 30001712664.

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.

258 x 696 x 308 x 831 x 564 = 25921479741696

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.

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

831 : 1, 3, 277, 831

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,696,308,831,564, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

696:2x 2x 2x 3x 29

308:2x 2x 7x 11

831:3x 277

564:2x 2x 3x 47

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 25921479741696/(1x864)

LCM = 25921479741696/864

LCM = 30001712664

Thus, we can understand that the LCM of 258,696,308,831,564 is 30001712664.

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

• LCM of 552, 676, 468, 886, 348
• LCM of 200, 125, 464, 506, 556
• LCM of 758, 952, 254, 600, 733
• LCM of 992, 526, 682, 346, 940
• LCM of 708, 876, 444, 428, 998

1. What is the LCM of 258, 696, 308, 831, 564?

Answer: LCM of 258, 696, 308, 831, 564 is 30001712664.

2. How to calculate the LCM of 258, 696, 308, 831, 564?

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 258, 696, 308, 831, 564.

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}.