Given numbers are 571,548,560,414,328

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

The LCM of 571,548,560,414,328 is 371791027440.

Find LCM of 571,548,560,414,328 with Prime Factorization

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

2 x 2 x 2 x 571 x 137 x 70 x 207 x 41 = 371791027440

Therefore, the lowest common multiple of 571,548,560,414,328 is 371791027440.

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.

571 x 548 x 560 x 414 x 328 = 23794625756160

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.

571 : 1, 571

548 : 1, 2, 4, 137, 274, 548

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,548,560,414,328, is 1.

Now, the common factors can be found like this.

571:571

548:2x 2x 137

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

414:2x 3x 3x 23

328:2x 2x 2x 41

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 = 23794625756160/(1x64)

LCM = 23794625756160/64

LCM = 371791027440

Thus, we can understand that the LCM of 571,548,560,414,328 is 371791027440.

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

• LCM of 708, 139, 780, 976, 271
• LCM of 977, 479, 357, 335, 160
• LCM of 918, 218, 381, 172, 845
• LCM of 120, 551, 906, 855, 179
• LCM of 638, 902, 574, 854, 351

1. What is the LCM of 571, 548, 560, 414, 328?

Answer: LCM of 571, 548, 560, 414, 328 is 371791027440.

2. How to calculate the LCM of 571, 548, 560, 414, 328?

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 571, 548, 560, 414, 328.

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}.