Given numbers are 214,226,204,221

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

The LCM of 214,226,204,221 is 32065332.

Find LCM of 214,226,204,221 with Prime Factorization

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

2 x 17 x 107 x 113 x 6 x 13 = 32065332

Therefore, the lowest common multiple of 214,226,204,221 is 32065332.

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.

214 x 226 x 204 x 221 = 2180442576

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.

214 : 1, 2, 107, 214

226 : 1, 2, 113, 226

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,226,204,221, is 1.

Now, the common factors can be found like this.

214:2x 107

226:2x 113

204:2x 2x 3x 17

221:13x 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 17 = 68

Therefore, the value for common factors is 68.

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 = 2180442576/(1x68)

LCM = 2180442576/68

LCM = 32065332

Thus, we can understand that the LCM of 214,226,204,221 is 32065332.

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

• LCM of 187, 811, 412, 589
• LCM of 177, 275, 995, 523
• LCM of 384, 217, 107, 158
• LCM of 918, 916, 148, 391
• LCM of 613, 944, 605, 727

1. What is the LCM of 214, 226, 204, 221?

Answer: LCM of 214, 226, 204, 221 is 32065332.

2. How to calculate the LCM of 214, 226, 204, 221?

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 214, 226, 204, 221.

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}.