Given numbers are 412,387,560,487,704

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

The LCM of 412,387,560,487,704 is 478319244480.

Find LCM of 412,387,560,487,704 with Prime Factorization

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

2 x 2 x 2 x 2 x 103 x 387 x 35 x 487 x 44 = 478319244480

Therefore, the lowest common multiple of 412,387,560,487,704 is 478319244480.

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.

412 x 387 x 560 x 487 x 704 = 30612431646720

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.

412 : 1, 2, 4, 103, 206, 412

387 : 1, 3, 9, 43, 129, 387

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

487 : 1, 487

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,387,560,487,704, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

387:3x 3x 43

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

487:487

704:2x 2x 2x 2x 2x 2x 11

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 2 = 64

Therefore, the value for common factors is 64.

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 = 30612431646720/(1x64)

LCM = 30612431646720/64

LCM = 478319244480

Thus, we can understand that the LCM of 412,387,560,487,704 is 478319244480.

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

• LCM of 236, 254, 766, 404, 599
• LCM of 724, 993, 740, 904, 361
• LCM of 178, 552, 668, 368, 943
• LCM of 985, 934, 825, 197, 777
• LCM of 172, 454, 468, 112, 486

1. What is the LCM of 412, 387, 560, 487, 704?

Answer: LCM of 412, 387, 560, 487, 704 is 478319244480.

2. How to calculate the LCM of 412, 387, 560, 487, 704?

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 412, 387, 560, 487, 704.

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}.