Given numbers are 251,406,414,212

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

The LCM of 251,406,414,212 is 2236021452.

Find LCM of 251,406,414,212 with Prime Factorization

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

2 x 251 x 203 x 207 x 106 = 2236021452

Therefore, the lowest common multiple of 251,406,414,212 is 2236021452.

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.

251 x 406 x 414 x 212 = 8944085808

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.

251 : 1, 251

406 : 1, 2, 7, 14, 29, 58, 203, 406

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,406,414,212, is 1.

Now, the common factors can be found like this.

251:251

406:2x 7x 29

414:2x 3x 3x 23

212:2x 2x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8944085808/(1x4)

LCM = 8944085808/4

LCM = 2236021452

Thus, we can understand that the LCM of 251,406,414,212 is 2236021452.

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

• LCM of 480, 887, 295, 352
• LCM of 915, 787, 917, 890
• LCM of 899, 274, 283, 187
• LCM of 357, 583, 937, 217
• LCM of 287, 259, 619, 815

1. What is the LCM of 251, 406, 414, 212?

Answer: LCM of 251, 406, 414, 212 is 2236021452.

2. How to calculate the LCM of 251, 406, 414, 212?

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 251, 406, 414, 212.

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}.