Given numbers are 258,916,162,214

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

The LCM of 258,916,162,214 is 341375796.

Find LCM of 258,916,162,214 with Prime Factorization

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

2 x 3 x 43 x 458 x 27 x 107 = 341375796

Therefore, the lowest common multiple of 258,916,162,214 is 341375796.

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.

258 x 916 x 162 x 214 = 8193019104

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.

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

916 : 1, 2, 4, 229, 458, 916

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,916,162,214, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

916:2x 2x 229

162:2x 3x 3x 3x 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.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 8193019104/(2x12)

LCM = 8193019104/24

LCM = 341375796

Thus, we can understand that the LCM of 258,916,162,214 is 341375796.

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

• LCM of 545, 540, 608, 173
• LCM of 730, 509, 118, 630
• LCM of 440, 933, 809, 973
• LCM of 698, 762, 612, 393
• LCM of 415, 280, 543, 300

1. What is the LCM of 258, 916, 162, 214?

Answer: LCM of 258, 916, 162, 214 is 341375796.

2. How to calculate the LCM of 258, 916, 162, 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 258, 916, 162, 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}.