Given numbers are 717,382,751,284,414

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

The LCM of 717,382,751,284,414 is 2015393672412.

Find LCM of 717,382,751,284,414 with Prime Factorization

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

2 x 3 x 239 x 191 x 751 x 142 x 69 = 2015393672412

Therefore, the lowest common multiple of 717,382,751,284,414 is 2015393672412.

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.

717 x 382 x 751 x 284 x 414 = 24184724068944

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.

717 : 1, 3, 239, 717

382 : 1, 2, 191, 382

751 : 1, 751

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

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 717,382,751,284,414, is 1.

Now, the common factors can be found like this.

717:3x 239

382:2x 191

751:751

284:2x 2x 71

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 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 = 24184724068944/(1x12)

LCM = 24184724068944/12

LCM = 2015393672412

Thus, we can understand that the LCM of 717,382,751,284,414 is 2015393672412.

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

• LCM of 566, 233, 577, 658, 809
• LCM of 585, 340, 716, 219, 897
• LCM of 392, 843, 909, 229, 232
• LCM of 264, 118, 323, 592, 587
• LCM of 775, 878, 271, 426, 351

1. What is the LCM of 717, 382, 751, 284, 414?

Answer: LCM of 717, 382, 751, 284, 414 is 2015393672412.

2. How to calculate the LCM of 717, 382, 751, 284, 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 717, 382, 751, 284, 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}.