Given numbers are 904,321,214,214

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

The LCM of 904,321,214,214 is 290184.

Find LCM of 904,321,214,214 with Prime Factorization

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

2 x 107 x 452 x 3 x 1 x 1 = 290184

Therefore, the lowest common multiple of 904,321,214,214 is 290184.

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.

904 x 321 x 214 x 214 = 13289266464

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

321 : 1, 3, 107, 321

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,321,214,214, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

321:3x 107

214:2x 107

214:2x 107

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 107x 107 = 45796

Therefore, the value for common factors is 45796.

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 = 13289266464/(1x45796)

LCM = 13289266464/45796

LCM = 290184

Thus, we can understand that the LCM of 904,321,214,214 is 290184.

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

• LCM of 547, 690, 299, 275
• LCM of 458, 653, 200, 229
• LCM of 243, 815, 683, 476
• LCM of 981, 440, 865, 428
• LCM of 309, 765, 935, 579

1. What is the LCM of 904, 321, 214, 214?

Answer: LCM of 904, 321, 214, 214 is 290184.

2. How to calculate the LCM of 904, 321, 214, 214?

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 904, 321, 214, 214.

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}.