Given numbers are 328,407,936,344,286

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

The LCM of 328,407,936,344,286 is 671618376.

Find LCM of 328,407,936,344,286 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 41 x 37 x 9 x 43 x 1 = 671618376

Therefore, the lowest common multiple of 328,407,936,344,286 is 671618376.

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.

328 x 407 x 936 x 344 x 286 = 12293302754304

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

407 : 1, 11, 37, 407

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

344 : 1, 2, 4, 8, 43, 86, 172, 344

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 328,407,936,344,286, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

407:11x 37

936:2x 2x 2x 3x 3x 13

344:2x 2x 2x 43

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 2x 2x 2x 2x 11x 13 = 18304

Therefore, the value for common factors is 18304.

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 = 12293302754304/(1x18304)

LCM = 12293302754304/18304

LCM = 671618376

Thus, we can understand that the LCM of 328,407,936,344,286 is 671618376.

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

• LCM of 869, 639, 510, 198, 551
• LCM of 826, 382, 257, 372, 205
• LCM of 856, 725, 237, 643, 981
• LCM of 925, 259, 500, 308, 126
• LCM of 675, 638, 446, 630, 483

1. What is the LCM of 328, 407, 936, 344, 286?

Answer: LCM of 328, 407, 936, 344, 286 is 671618376.

2. How to calculate the LCM of 328, 407, 936, 344, 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 328, 407, 936, 344, 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}.