Given numbers are 338,345,258,366

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

The LCM of 338,345,258,366 is 305868030.

Find LCM of 338,345,258,366 with Prime Factorization

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

2 x 3 x 169 x 115 x 43 x 61 = 305868030

Therefore, the lowest common multiple of 338,345,258,366 is 305868030.

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.

338 x 345 x 258 x 366 = 11011249080

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.

338 : 1, 2, 13, 26, 169, 338

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,345,258,366, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

345:3x 5x 23

258:2x 3x 43

366:2x 3x 61

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 11011249080/(1x36)

LCM = 11011249080/36

LCM = 305868030

Thus, we can understand that the LCM of 338,345,258,366 is 305868030.

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

• LCM of 775, 283, 443, 634
• LCM of 471, 851, 664, 241
• LCM of 257, 886, 238, 109
• LCM of 727, 320, 664, 932
• LCM of 673, 426, 499, 352

1. What is the LCM of 338, 345, 258, 366?

Answer: LCM of 338, 345, 258, 366 is 305868030.

2. How to calculate the LCM of 338, 345, 258, 366?

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 338, 345, 258, 366.

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}.