Given numbers are 327,578,344,407,560

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

The LCM of 327,578,344,407,560 is 926182321680.

Find LCM of 327,578,344,407,560 with Prime Factorization

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

2 x 2 x 2 x 327 x 289 x 43 x 407 x 70 = 926182321680

Therefore, the lowest common multiple of 327,578,344,407,560 is 926182321680.

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 578 x 344 x 407 x 560 = 14818917146880

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

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

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

407 : 1, 11, 37, 407

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,578,344,407,560, is 1.

Now, the common factors can be found like this.

327:3x 109

578:2x 17x 17

344:2x 2x 2x 43

407:11x 37

560:2x 2x 2x 2x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14818917146880/(1x16)

LCM = 14818917146880/16

LCM = 926182321680

Thus, we can understand that the LCM of 327,578,344,407,560 is 926182321680.

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

• LCM of 967, 279, 854, 378, 271
• LCM of 628, 548, 643, 779, 537
• LCM of 413, 465, 996, 887, 934
• LCM of 291, 395, 826, 426, 708
• LCM of 322, 341, 622, 405, 275

1. What is the LCM of 327, 578, 344, 407, 560?

Answer: LCM of 327, 578, 344, 407, 560 is 926182321680.

2. How to calculate the LCM of 327, 578, 344, 407, 560?

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, 578, 344, 407, 560.

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}.