Given numbers are 338,449,585,912,246

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

The LCM of 338,449,585,912,246 is 42560135280.

Find LCM of 338,449,585,912,246 with Prime Factorization

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

2 x 3 x 13 x 13 x 449 x 15 x 152 x 41 = 42560135280

Therefore, the lowest common multiple of 338,449,585,912,246 is 42560135280.

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 449 x 585 x 912 x 246 = 19918143311040

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

449 : 1, 449

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,449,585,912,246, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

449:449

585:3x 3x 5x 13

912:2x 2x 2x 2x 3x 19

246:2x 3x 41

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 13 = 468

Therefore, the value for common factors is 468.

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 = 19918143311040/(1x468)

LCM = 19918143311040/468

LCM = 42560135280

Thus, we can understand that the LCM of 338,449,585,912,246 is 42560135280.

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

• LCM of 477, 662, 953, 474, 854
• LCM of 791, 774, 381, 116, 707
• LCM of 242, 884, 235, 842, 871
• LCM of 952, 657, 797, 428, 735
• LCM of 736, 200, 151, 299, 281

1. What is the LCM of 338, 449, 585, 912, 246?

Answer: LCM of 338, 449, 585, 912, 246 is 42560135280.

2. How to calculate the LCM of 338, 449, 585, 912, 246?

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, 449, 585, 912, 246.

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}.