Given numbers are 214,538,214,222

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

The LCM of 214,538,214,222 is 6389826.

Find LCM of 214,538,214,222 with Prime Factorization

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

2 x 107 x 1 x 269 x 1 x 111 = 6389826

Therefore, the lowest common multiple of 214,538,214,222 is 6389826.

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 538 x 214 x 222 = 5469691056

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

538 : 1, 2, 269, 538

214 : 1, 2, 107, 214

222 : 1, 2, 3, 6, 37, 74, 111, 222

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,538,214,222, is 2.

Now, the common factors can be found like this.

214:2x 107

538:2x 269

214:2x 107

222:2x 3x 37

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 107 = 428

Therefore, the value for common factors is 428.

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 = 5469691056/(2x428)

LCM = 5469691056/856

LCM = 6389826

Thus, we can understand that the LCM of 214,538,214,222 is 6389826.

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

• LCM of 839, 293, 868, 853
• LCM of 519, 605, 763, 297
• LCM of 453, 886, 334, 565
• LCM of 326, 813, 822, 624
• LCM of 488, 388, 796, 966

1. What is the LCM of 214, 538, 214, 222?

Answer: LCM of 214, 538, 214, 222 is 6389826.

2. How to calculate the LCM of 214, 538, 214, 222?

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, 538, 214, 222.

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}.