Given numbers are 305,969,414

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

The LCM of 305,969,414 is 40785210.

Find LCM of 305,969,414 with Prime Factorization

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

3 x 305 x 323 x 138 = 40785210

Therefore, the lowest common multiple of 305,969,414 is 40785210.

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.

305 x 969 x 414 = 122355630

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.

305 : 1, 5, 61, 305

969 : 1, 3, 17, 19, 51, 57, 323, 969

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 305,969,414, is 1.

Now, the common factors can be found like this.

305:5x 61

969:3x 17x 19

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 122355630/(1x3)

LCM = 122355630/3

LCM = 40785210

Thus, we can understand that the LCM of 305,969,414 is 40785210.

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

• LCM of 804, 166, 317
• LCM of 625, 783, 745
• LCM of 515, 342, 618
• LCM of 551, 629, 166
• LCM of 385, 349, 369

1. What is the LCM of 305, 969, 414?

Answer: LCM of 305, 969, 414 is 40785210.

2. How to calculate the LCM of 305, 969, 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 305, 969, 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}.