Given numbers are 804,914,416,560

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

The LCM of 804,914,416,560 is 1337437920.

Find LCM of 804,914,416,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 201 x 457 x 26 x 35 = 1337437920

Therefore, the lowest common multiple of 804,914,416,560 is 1337437920.

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.

804 x 914 x 416 x 560 = 171192053760

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

914 : 1, 2, 457, 914

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,914,416,560, is 2.

Now, the common factors can be found like this.

804:2x 2x 3x 67

914:2x 457

416:2x 2x 2x 2x 2x 13

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 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 = 171192053760/(2x64)

LCM = 171192053760/128

LCM = 1337437920

Thus, we can understand that the LCM of 804,914,416,560 is 1337437920.

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

• LCM of 568, 131, 909, 619
• LCM of 131, 958, 984, 134
• LCM of 720, 597, 986, 946
• LCM of 210, 737, 947, 455
• LCM of 151, 218, 404, 341

1. What is the LCM of 804, 914, 416, 560?

Answer: LCM of 804, 914, 416, 560 is 1337437920.

2. How to calculate the LCM of 804, 914, 416, 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 804, 914, 416, 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}.