Given numbers are 990,460,935,590

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

The LCM of 990,460,935,590 is 45676620.

Find LCM of 990,460,935,590 with Prime Factorization

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

2 x 5 x 11 x 9 x 46 x 17 x 59 = 45676620

Therefore, the lowest common multiple of 990,460,935,590 is 45676620.

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 460 x 935 x 590 = 251221410000

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

935 : 1, 5, 11, 17, 55, 85, 187, 935

590 : 1, 2, 5, 10, 59, 118, 295, 590

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,460,935,590, is 5.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

460:2x 2x 5x 23

935:5x 11x 17

590:2x 5x 59

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 5x 5x 11 = 1100

Therefore, the value for common factors is 1100.

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 = 251221410000/(5x1100)

LCM = 251221410000/5500

LCM = 45676620

Thus, we can understand that the LCM of 990,460,935,590 is 45676620.

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

• LCM of 875, 464, 575, 566
• LCM of 435, 140, 969, 907
• LCM of 423, 487, 174, 432
• LCM of 434, 377, 970, 410
• LCM of 611, 672, 370, 902

1. What is the LCM of 990, 460, 935, 590?

Answer: LCM of 990, 460, 935, 590 is 45676620.

2. How to calculate the LCM of 990, 460, 935, 590?

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, 460, 935, 590.

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}.