Given numbers are 214,330,498,207,636

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

The LCM of 214,330,498,207,636 is 21435359220.

Find LCM of 214,330,498,207,636 with Prime Factorization

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

2 x 3 x 107 x 55 x 83 x 69 x 106 = 21435359220

Therefore, the lowest common multiple of 214,330,498,207,636 is 21435359220.

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 330 x 498 x 207 x 636 = 4630037591520

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

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

498 : 1, 2, 3, 6, 83, 166, 249, 498

207 : 1, 3, 9, 23, 69, 207

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,330,498,207,636, is 1.

Now, the common factors can be found like this.

214:2x 107

330:2x 3x 5x 11

498:2x 3x 83

207:3x 3x 23

636:2x 2x 3x 53

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 4630037591520/(1x216)

LCM = 4630037591520/216

LCM = 21435359220

Thus, we can understand that the LCM of 214,330,498,207,636 is 21435359220.

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

• LCM of 391, 164, 833, 237, 281
• LCM of 224, 980, 451, 849, 910
• LCM of 678, 716, 352, 300, 748
• LCM of 854, 218, 751, 536, 597
• LCM of 725, 351, 637, 321, 915

1. What is the LCM of 214, 330, 498, 207, 636?

Answer: LCM of 214, 330, 498, 207, 636 is 21435359220.

2. How to calculate the LCM of 214, 330, 498, 207, 636?

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, 330, 498, 207, 636.

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}.