Given numbers are 489,796,330,708,990

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

The LCM of 489,796,330,708,990 is 3789290340.

Find LCM of 489,796,330,708,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 163 x 199 x 1 x 59 x 3 = 3789290340

Therefore, the lowest common multiple of 489,796,330,708,990 is 3789290340.

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 796 x 330 x 708 x 990 = 90033538478400

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

796 : 1, 2, 4, 199, 398, 796

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,796,330,708,990, is 1.

Now, the common factors can be found like this.

489:3x 163

796:2x 2x 199

330:2x 3x 5x 11

708:2x 2x 3x 59

990:2x 3x 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.

2x 2x 2x 2x 3x 3x 3x 5x 11 = 23760

Therefore, the value for common factors is 23760.

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 = 90033538478400/(1x23760)

LCM = 90033538478400/23760

LCM = 3789290340

Thus, we can understand that the LCM of 489,796,330,708,990 is 3789290340.

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

• LCM of 822, 253, 421, 439, 105
• LCM of 445, 215, 555, 347, 830
• LCM of 678, 136, 363, 483, 336
• LCM of 908, 272, 556, 583, 581
• LCM of 357, 185, 725, 372, 892

1. What is the LCM of 489, 796, 330, 708, 990?

Answer: LCM of 489, 796, 330, 708, 990 is 3789290340.

2. How to calculate the LCM of 489, 796, 330, 708, 990?

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, 796, 330, 708, 990.

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}.