Given numbers are 629,12,214

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

The LCM of 629,12,214 is 807636.

Find LCM of 629,12,214 with Prime Factorization

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

2 x 629 x 6 x 107 = 807636

Therefore, the lowest common multiple of 629,12,214 is 807636.

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.

629 x 12 x 214 = 1615272

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.

629 : 1, 17, 37, 629

12 : 1, 2, 3, 4, 6, 12

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,12,214, is 1.

Now, the common factors can be found like this.

629:17x 37

12:2x 2x 3

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 1615272/(1x2)

LCM = 1615272/2

LCM = 807636

Thus, we can understand that the LCM of 629,12,214 is 807636.

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

• LCM of 346, 88, 931
• LCM of 159, 35, 348
• LCM of 394, 44, 261
• LCM of 928, 76, 676
• LCM of 301, 60, 635

1. What is the LCM of 629, 12, 214?

Answer: LCM of 629, 12, 214 is 807636.

2. How to calculate the LCM of 629, 12, 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 629, 12, 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}.