Given numbers are 321,227,258,414

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

The LCM of 321,227,258,414 is 432392778.

Find LCM of 321,227,258,414 with Prime Factorization

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

2 x 3 x 107 x 227 x 43 x 69 = 432392778

Therefore, the lowest common multiple of 321,227,258,414 is 432392778.

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.

321 x 227 x 258 x 414 = 7783070004

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.

321 : 1, 3, 107, 321

227 : 1, 227

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,227,258,414, is 1.

Now, the common factors can be found like this.

321:3x 107

227:227

258:2x 3x 43

414:2x 3x 3x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 7783070004/(1x18)

LCM = 7783070004/18

LCM = 432392778

Thus, we can understand that the LCM of 321,227,258,414 is 432392778.

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

• LCM of 130, 771, 809, 762
• LCM of 795, 890, 760, 189
• LCM of 485, 414, 899, 636
• LCM of 956, 296, 610, 103
• LCM of 818, 359, 909, 595

1. What is the LCM of 321, 227, 258, 414?

Answer: LCM of 321, 227, 258, 414 is 432392778.

2. How to calculate the LCM of 321, 227, 258, 414?

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 321, 227, 258, 414.

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}.