Given numbers are 489,742,516,990,303

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

The LCM of 489,742,516,990,303 is 520015793220.

Find LCM of 489,742,516,990,303 with Prime Factorization

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

2 x 3 x 163 x 371 x 86 x 165 x 101 = 520015793220

Therefore, the lowest common multiple of 489,742,516,990,303 is 520015793220.

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 742 x 516 x 990 x 303 = 56161705667760

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,742,516,990,303, is 1.

Now, the common factors can be found like this.

489:3x 163

742:2x 7x 53

516:2x 2x 3x 43

990:2x 3x 3x 5x 11

303:3x 101

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 3 = 108

Therefore, the value for common factors is 108.

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 = 56161705667760/(1x108)

LCM = 56161705667760/108

LCM = 520015793220

Thus, we can understand that the LCM of 489,742,516,990,303 is 520015793220.

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

• LCM of 188, 216, 519, 584, 987
• LCM of 190, 150, 135, 806, 683
• LCM of 481, 426, 167, 689, 275
• LCM of 755, 553, 327, 272, 500
• LCM of 691, 640, 101, 399, 424

1. What is the LCM of 489, 742, 516, 990, 303?

Answer: LCM of 489, 742, 516, 990, 303 is 520015793220.

2. How to calculate the LCM of 489, 742, 516, 990, 303?

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, 742, 516, 990, 303.

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}.