Given numbers are 560,365,173,685,914

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

The LCM of 560,365,173,685,914 is 442785874160.

Find LCM of 560,365,173,685,914 with Prime Factorization

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

2 x 5 x 56 x 73 x 173 x 137 x 457 = 442785874160

Therefore, the lowest common multiple of 560,365,173,685,914 is 442785874160.

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.

560 x 365 x 173 x 685 x 914 = 22139293708000

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.

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

365 : 1, 5, 73, 365

173 : 1, 173

685 : 1, 5, 137, 685

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,365,173,685,914, is 1.

Now, the common factors can be found like this.

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

365:5x 73

173:173

685:5x 137

914:2x 457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 22139293708000/(1x50)

LCM = 22139293708000/50

LCM = 442785874160

Thus, we can understand that the LCM of 560,365,173,685,914 is 442785874160.

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

• LCM of 449, 778, 541, 470, 560
• LCM of 746, 845, 338, 856, 297
• LCM of 358, 903, 560, 868, 104
• LCM of 247, 368, 462, 798, 438
• LCM of 501, 155, 479, 382, 836

1. What is the LCM of 560, 365, 173, 685, 914?

Answer: LCM of 560, 365, 173, 685, 914 is 442785874160.

2. How to calculate the LCM of 560, 365, 173, 685, 914?

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 560, 365, 173, 685, 914.

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}.