Given numbers are 560,646,313,745

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

The LCM of 560,646,313,745 is 8435700560.

Find LCM of 560,646,313,745 with Prime Factorization

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

2 x 5 x 56 x 323 x 313 x 149 = 8435700560

Therefore, the lowest common multiple of 560,646,313,745 is 8435700560.

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 646 x 313 x 745 = 84357005600

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

313 : 1, 313

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,646,313,745, is 1.

Now, the common factors can be found like this.

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

646:2x 17x 19

313:313

745:5x 149

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 84357005600/(1x10)

LCM = 84357005600/10

LCM = 8435700560

Thus, we can understand that the LCM of 560,646,313,745 is 8435700560.

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

• LCM of 231, 221, 884, 912
• LCM of 389, 555, 683, 963
• LCM of 762, 502, 262, 263
• LCM of 723, 796, 520, 289
• LCM of 165, 286, 103, 121

1. What is the LCM of 560, 646, 313, 745?

Answer: LCM of 560, 646, 313, 745 is 8435700560.

2. How to calculate the LCM of 560, 646, 313, 745?

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, 646, 313, 745.

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}.