Given numbers are 212,214,242,321

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

The LCM of 212,214,242,321 is 8234292.

Find LCM of 212,214,242,321 with Prime Factorization

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

2 x 107 x 106 x 1 x 121 x 3 = 8234292

Therefore, the lowest common multiple of 212,214,242,321 is 8234292.

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.

212 x 214 x 242 x 321 = 3524276976

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.

212 : 1, 2, 4, 53, 106, 212

214 : 1, 2, 107, 214

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

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,214,242,321, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

214:2x 107

242:2x 11x 11

321:3x 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 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 = 3524276976/(1x428)

LCM = 3524276976/428

LCM = 8234292

Thus, we can understand that the LCM of 212,214,242,321 is 8234292.

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

• LCM of 816, 672, 932, 139
• LCM of 547, 498, 561, 683
• LCM of 187, 112, 994, 295
• LCM of 783, 789, 433, 986
• LCM of 229, 889, 284, 664

1. What is the LCM of 212, 214, 242, 321?

Answer: LCM of 212, 214, 242, 321 is 8234292.

2. How to calculate the LCM of 212, 214, 242, 321?

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 212, 214, 242, 321.

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}.