Given numbers are 107,187,447,417,214

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

The LCM of 107,187,447,417,214 is 2486438394.

Find LCM of 107,187,447,417,214 with Prime Factorization

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

3 x 107 x 1 x 187 x 149 x 139 x 2 = 2486438394

Therefore, the lowest common multiple of 107,187,447,417,214 is 2486438394.

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.

107 x 187 x 447 x 417 x 214 = 798146724474

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.

107 : 1, 107

187 : 1, 11, 17, 187

447 : 1, 3, 149, 447

417 : 1, 3, 139, 417

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,187,447,417,214, is 1.

Now, the common factors can be found like this.

107:107

187:11x 17

447:3x 149

417:3x 139

214:2x 107

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 798146724474/(1x321)

LCM = 798146724474/321

LCM = 2486438394

Thus, we can understand that the LCM of 107,187,447,417,214 is 2486438394.

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

• LCM of 212, 564, 798, 936, 363
• LCM of 234, 438, 772, 724, 590
• LCM of 713, 444, 119, 370, 926
• LCM of 418, 979, 522, 475, 640
• LCM of 241, 583, 196, 868, 942

1. What is the LCM of 107, 187, 447, 417, 214?

Answer: LCM of 107, 187, 447, 417, 214 is 2486438394.

2. How to calculate the LCM of 107, 187, 447, 417, 214?

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 107, 187, 447, 417, 214.

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}.