Given numbers are 638,242,408,816

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

The LCM of 638,242,408,816 is 2863344.

Find LCM of 638,242,408,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 17 x 29 x 11 x 1 x 2 = 2863344

Therefore, the lowest common multiple of 638,242,408,816 is 2863344.

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.

638 x 242 x 408 x 816 = 51402751488

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

242 : 1, 2, 11, 22, 121, 242

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,242,408,816, is 2.

Now, the common factors can be found like this.

638:2x 11x 29

242:2x 11x 11

408:2x 2x 2x 3x 17

816:2x 2x 2x 2x 3x 17

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 2x 3x 11x 17 = 8976

Therefore, the value for common factors is 8976.

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 = 51402751488/(2x8976)

LCM = 51402751488/17952

LCM = 2863344

Thus, we can understand that the LCM of 638,242,408,816 is 2863344.

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

• LCM of 323, 709, 278, 824
• LCM of 530, 907, 968, 732
• LCM of 851, 478, 416, 993
• LCM of 215, 167, 621, 305
• LCM of 611, 484, 618, 639

1. What is the LCM of 638, 242, 408, 816?

Answer: LCM of 638, 242, 408, 816 is 2863344.

2. How to calculate the LCM of 638, 242, 408, 816?

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 638, 242, 408, 816.

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}.