Given numbers are 199,845,592,990,441

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

The LCM of 199,845,592,990,441 is 482906183760.

Find LCM of 199,845,592,990,441 with Prime Factorization

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

2 x 3 x 3 x 5 x 199 x 169 x 296 x 11 x 49 = 482906183760

Therefore, the lowest common multiple of 199,845,592,990,441 is 482906183760.

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.

199 x 845 x 592 x 990 x 441 = 43461556538400

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.

199 : 1, 199

845 : 1, 5, 13, 65, 169, 845

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,845,592,990,441, is 1.

Now, the common factors can be found like this.

199:199

845:5x 13x 13

592:2x 2x 2x 2x 37

990:2x 3x 3x 5x 11

441:3x 3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 43461556538400/(1x90)

LCM = 43461556538400/90

LCM = 482906183760

Thus, we can understand that the LCM of 199,845,592,990,441 is 482906183760.

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

• LCM of 748, 359, 909, 277, 856
• LCM of 596, 687, 957, 715, 919
• LCM of 992, 137, 338, 200, 661
• LCM of 794, 748, 844, 922, 558
• LCM of 891, 683, 765, 691, 185

1. What is the LCM of 199, 845, 592, 990, 441?

Answer: LCM of 199, 845, 592, 990, 441 is 482906183760.

2. How to calculate the LCM of 199, 845, 592, 990, 441?

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 199, 845, 592, 990, 441.

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}.