Given numbers are 489,810,546,959,892

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

The LCM of 489,810,546,959,892 is 734124032460.

Find LCM of 489,810,546,959,892 with Prime Factorization

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

2 x 3 x 7 x 163 x 135 x 13 x 137 x 446 = 734124032460

Therefore, the lowest common multiple of 489,810,546,959,892 is 734124032460.

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 810 x 546 x 959 x 892 = 184999256179920

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

959 : 1, 7, 137, 959

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,810,546,959,892, is 1.

Now, the common factors can be found like this.

489:3x 163

810:2x 3x 3x 3x 3x 5

546:2x 3x 7x 13

959:7x 137

892:2x 2x 223

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 184999256179920/(1x252)

LCM = 184999256179920/252

LCM = 734124032460

Thus, we can understand that the LCM of 489,810,546,959,892 is 734124032460.

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

• LCM of 682, 362, 699, 484, 729
• LCM of 488, 834, 678, 781, 940
• LCM of 400, 481, 559, 251, 315
• LCM of 101, 451, 431, 647, 191
• LCM of 731, 191, 783, 835, 760

1. What is the LCM of 489, 810, 546, 959, 892?

Answer: LCM of 489, 810, 546, 959, 892 is 734124032460.

2. How to calculate the LCM of 489, 810, 546, 959, 892?

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, 810, 546, 959, 892.

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}.