Given numbers are 327,726,778,420,286

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

The LCM of 327,726,778,420,286 is 28012644660.

Find LCM of 327,726,778,420,286 with Prime Factorization

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

2 x 3 x 11 x 109 x 11 x 389 x 70 x 13 = 28012644660

Therefore, the lowest common multiple of 327,726,778,420,286 is 28012644660.

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.

327 x 726 x 778 x 420 x 286 = 22186014570720

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.

327 : 1, 3, 109, 327

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

778 : 1, 2, 389, 778

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,726,778,420,286, is 1.

Now, the common factors can be found like this.

327:3x 109

726:2x 3x 11x 11

778:2x 389

420:2x 2x 3x 5x 7

286:2x 11x 13

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 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 22186014570720/(1x792)

LCM = 22186014570720/792

LCM = 28012644660

Thus, we can understand that the LCM of 327,726,778,420,286 is 28012644660.

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

• LCM of 714, 623, 307, 332, 521
• LCM of 151, 437, 711, 688, 917
• LCM of 334, 843, 861, 823, 657
• LCM of 368, 581, 253, 665, 381
• LCM of 901, 432, 353, 219, 294

1. What is the LCM of 327, 726, 778, 420, 286?

Answer: LCM of 327, 726, 778, 420, 286 is 28012644660.

2. How to calculate the LCM of 327, 726, 778, 420, 286?

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 327, 726, 778, 420, 286.

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}.