Given numbers are 214,617,382,497

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

The LCM of 214,617,382,497 is 12533971226.

Find LCM of 214,617,382,497 with Prime Factorization

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

2 x 107 x 617 x 191 x 497 = 12533971226

Therefore, the lowest common multiple of 214,617,382,497 is 12533971226.

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.

214 x 617 x 382 x 497 = 25067942452

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.

214 : 1, 2, 107, 214

617 : 1, 617

382 : 1, 2, 191, 382

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,617,382,497, is 1.

Now, the common factors can be found like this.

214:2x 107

617:617

382:2x 191

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 25067942452/(1x2)

LCM = 25067942452/2

LCM = 12533971226

Thus, we can understand that the LCM of 214,617,382,497 is 12533971226.

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

• LCM of 222, 570, 209, 585
• LCM of 347, 839, 304, 870
• LCM of 383, 740, 847, 311
• LCM of 602, 136, 542, 197
• LCM of 495, 992, 449, 815

1. What is the LCM of 214, 617, 382, 497?

Answer: LCM of 214, 617, 382, 497 is 12533971226.

2. How to calculate the LCM of 214, 617, 382, 497?

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 214, 617, 382, 497.

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}.