Given numbers are 338,880,990,445,418

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

The LCM of 338,880,990,445,418 is 2263369680.

Find LCM of 338,880,990,445,418 with Prime Factorization

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

2 x 5 x 11 x 169 x 8 x 9 x 89 x 19 = 2263369680

Therefore, the lowest common multiple of 338,880,990,445,418 is 2263369680.

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.

338 x 880 x 990 x 445 x 418 = 54773546256000

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.

338 : 1, 2, 13, 26, 169, 338

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

445 : 1, 5, 89, 445

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,880,990,445,418, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

880:2x 2x 2x 2x 5x 11

990:2x 3x 3x 5x 11

445:5x 89

418:2x 11x 19

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 5x 5x 11x 11 = 24200

Therefore, the value for common factors is 24200.

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 = 54773546256000/(1x24200)

LCM = 54773546256000/24200

LCM = 2263369680

Thus, we can understand that the LCM of 338,880,990,445,418 is 2263369680.

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

• LCM of 416, 648, 207, 479, 627
• LCM of 162, 739, 956, 208, 101
• LCM of 849, 699, 105, 884, 545
• LCM of 265, 820, 945, 154, 718
• LCM of 374, 166, 132, 705, 869

1. What is the LCM of 338, 880, 990, 445, 418?

Answer: LCM of 338, 880, 990, 445, 418 is 2263369680.

2. How to calculate the LCM of 338, 880, 990, 445, 418?

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 338, 880, 990, 445, 418.

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}.