Given numbers are 990,486,920,898,750

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

The LCM of 990,486,920,898,750 is 27604071000.

Find LCM of 990,486,920,898,750 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 27 x 92 x 449 x 25 = 27604071000

Therefore, the lowest common multiple of 990,486,920,898,750 is 27604071000.

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.

990 x 486 x 920 x 898 x 750 = 298123966800000

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.

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

898 : 1, 2, 449, 898

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,486,920,898,750, is 2.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

486:2x 3x 3x 3x 3x 3

920:2x 2x 2x 5x 23

898:2x 449

750:2x 3x 5x 5x 5

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 3x 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 298123966800000/(2x5400)

LCM = 298123966800000/10800

LCM = 27604071000

Thus, we can understand that the LCM of 990,486,920,898,750 is 27604071000.

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

• LCM of 992, 702, 982, 217, 545
• LCM of 746, 555, 857, 420, 200
• LCM of 674, 954, 717, 671, 312
• LCM of 862, 366, 156, 480, 592
• LCM of 796, 957, 102, 684, 189

1. What is the LCM of 990, 486, 920, 898, 750?

Answer: LCM of 990, 486, 920, 898, 750 is 27604071000.

2. How to calculate the LCM of 990, 486, 920, 898, 750?

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 990, 486, 920, 898, 750.

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}.