Given numbers are 909,612,486,990

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

The LCM of 909,612,486,990 is 91790820.

Find LCM of 909,612,486,990 with Prime Factorization

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

2 x 3 x 3 x 101 x 34 x 27 x 55 = 91790820

Therefore, the lowest common multiple of 909,612,486,990 is 91790820.

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.

909 x 612 x 486 x 990 = 267662031120

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.

909 : 1, 3, 9, 101, 303, 909

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

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

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,612,486,990, is 9.

Now, the common factors can be found like this.

909:3x 3x 101

612:2x 2x 3x 3x 17

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

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 267662031120/(9x324)

LCM = 267662031120/2916

LCM = 91790820

Thus, we can understand that the LCM of 909,612,486,990 is 91790820.

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

• LCM of 983, 951, 463, 537
• LCM of 532, 899, 861, 190
• LCM of 388, 297, 890, 599
• LCM of 423, 259, 216, 245
• LCM of 483, 864, 939, 437

1. What is the LCM of 909, 612, 486, 990?

Answer: LCM of 909, 612, 486, 990 is 91790820.

2. How to calculate the LCM of 909, 612, 486, 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 909, 612, 486, 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}.