Given numbers are 327,442,489,990,892

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

The LCM of 327,442,489,990,892 is 1733709900780.

Find LCM of 327,442,489,990,892 with Prime Factorization

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

2 x 3 x 109 x 221 x 163 x 165 x 446 = 1733709900780

Therefore, the lowest common multiple of 327,442,489,990,892 is 1733709900780.

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.

327 x 442 x 489 x 990 x 892 = 62413556428080

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.

327 : 1, 3, 109, 327

442 : 1, 2, 13, 17, 26, 34, 221, 442

489 : 1, 3, 163, 489

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

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,442,489,990,892, is 1.

Now, the common factors can be found like this.

327:3x 109

442:2x 13x 17

489:3x 163

990:2x 3x 3x 5x 11

892:2x 2x 223

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 3 = 36

Therefore, the value for common factors is 36.

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 = 62413556428080/(1x36)

LCM = 62413556428080/36

LCM = 1733709900780

Thus, we can understand that the LCM of 327,442,489,990,892 is 1733709900780.

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

• LCM of 240, 518, 578, 756, 134
• LCM of 110, 853, 452, 808, 773
• LCM of 430, 707, 419, 570, 880
• LCM of 839, 900, 779, 169, 960
• LCM of 304, 749, 950, 506, 392

1. What is the LCM of 327, 442, 489, 990, 892?

Answer: LCM of 327, 442, 489, 990, 892 is 1733709900780.

2. How to calculate the LCM of 327, 442, 489, 990, 892?

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 327, 442, 489, 990, 892.

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}.