Given numbers are 489,183,516,861,165

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

The LCM of 489,183,516,861,165 is 80986331580.

Find LCM of 489,183,516,861,165 with Prime Factorization

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

3 x 163 x 61 x 172 x 287 x 55 = 80986331580

Therefore, the lowest common multiple of 489,183,516,861,165 is 80986331580.

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 183 x 516 x 861 x 165 = 6559892857980

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

183 : 1, 3, 61, 183

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

861 : 1, 3, 7, 21, 41, 123, 287, 861

165 : 1, 3, 5, 11, 15, 33, 55, 165

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,183,516,861,165, is 3.

Now, the common factors can be found like this.

489:3x 163

183:3x 61

516:2x 2x 3x 43

861:3x 7x 41

165:3x 5x 11

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 6559892857980/(3x27)

LCM = 6559892857980/81

LCM = 80986331580

Thus, we can understand that the LCM of 489,183,516,861,165 is 80986331580.

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

• LCM of 912, 710, 697, 814, 600
• LCM of 660, 813, 343, 706, 465
• LCM of 340, 175, 191, 297, 832
• LCM of 364, 803, 393, 703, 806
• LCM of 367, 128, 141, 144, 180

1. What is the LCM of 489, 183, 516, 861, 165?

Answer: LCM of 489, 183, 516, 861, 165 is 80986331580.

2. How to calculate the LCM of 489, 183, 516, 861, 165?

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, 183, 516, 861, 165.

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}.