Given numbers are 422,488,104,217

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

The LCM of 422,488,104,217 is 290472728.

Find LCM of 422,488,104,217 with Prime Factorization

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

2 x 2 x 2 x 211 x 61 x 13 x 217 = 290472728

Therefore, the lowest common multiple of 422,488,104,217 is 290472728.

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.

422 x 488 x 104 x 217 = 4647563648

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.

422 : 1, 2, 211, 422

488 : 1, 2, 4, 8, 61, 122, 244, 488

104 : 1, 2, 4, 8, 13, 26, 52, 104

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,488,104,217, is 1.

Now, the common factors can be found like this.

422:2x 211

488:2x 2x 2x 61

104:2x 2x 2x 13

217:7x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4647563648/(1x16)

LCM = 4647563648/16

LCM = 290472728

Thus, we can understand that the LCM of 422,488,104,217 is 290472728.

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

• LCM of 869, 338, 366, 564
• LCM of 555, 822, 674, 152
• LCM of 746, 148, 187, 717
• LCM of 754, 196, 768, 374
• LCM of 211, 511, 166, 191

1. What is the LCM of 422, 488, 104, 217?

Answer: LCM of 422, 488, 104, 217 is 290472728.

2. How to calculate the LCM of 422, 488, 104, 217?

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 422, 488, 104, 217.

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}.