Given numbers are 914,246,217,284

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

The LCM of 914,246,217,284 is 3464171508.

Find LCM of 914,246,217,284 with Prime Factorization

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

2 x 457 x 123 x 217 x 142 = 3464171508

Therefore, the lowest common multiple of 914,246,217,284 is 3464171508.

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.

914 x 246 x 217 x 284 = 13856686032

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.

914 : 1, 2, 457, 914

246 : 1, 2, 3, 6, 41, 82, 123, 246

217 : 1, 7, 31, 217

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,246,217,284, is 1.

Now, the common factors can be found like this.

914:2x 457

246:2x 3x 41

217:7x 31

284:2x 2x 71

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 = 13856686032/(1x4)

LCM = 13856686032/4

LCM = 3464171508

Thus, we can understand that the LCM of 914,246,217,284 is 3464171508.

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

• LCM of 704, 614, 635, 158
• LCM of 119, 127, 677, 866
• LCM of 152, 322, 398, 698
• LCM of 549, 201, 823, 304
• LCM of 468, 212, 364, 541

1. What is the LCM of 914, 246, 217, 284?

Answer: LCM of 914, 246, 217, 284 is 3464171508.

2. How to calculate the LCM of 914, 246, 217, 284?

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 914, 246, 217, 284.

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}.