Given numbers are 489,180,910,555,471

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

The LCM of 489,180,910,555,471 is 15509681460.

Find LCM of 489,180,910,555,471 with Prime Factorization

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

2 x 3 x 5 x 163 x 6 x 91 x 37 x 157 = 15509681460

Therefore, the lowest common multiple of 489,180,910,555,471 is 15509681460.

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.

489 x 180 x 910 x 555 x 471 = 20938069971000

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.

489 : 1, 3, 163, 489

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

555 : 1, 3, 5, 15, 37, 111, 185, 555

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,180,910,555,471, is 1.

Now, the common factors can be found like this.

489:3x 163

180:2x 2x 3x 3x 5

910:2x 5x 7x 13

555:3x 5x 37

471:3x 157

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 20938069971000/(1x1350)

LCM = 20938069971000/1350

LCM = 15509681460

Thus, we can understand that the LCM of 489,180,910,555,471 is 15509681460.

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

• LCM of 640, 421, 417, 809, 123
• LCM of 568, 119, 120, 345, 510
• LCM of 742, 948, 605, 182, 686
• LCM of 114, 916, 496, 416, 831
• LCM of 835, 880, 951, 148, 631

1. What is the LCM of 489, 180, 910, 555, 471?

Answer: LCM of 489, 180, 910, 555, 471 is 15509681460.

2. How to calculate the LCM of 489, 180, 910, 555, 471?

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 489, 180, 910, 555, 471.

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}.