Given numbers are 214,478,819,302,428

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

The LCM of 214,478,819,302,428 is 12650349348.

Find LCM of 214,478,819,302,428 with Prime Factorization

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

2 x 107 x 1 x 239 x 819 x 151 x 2 = 12650349348

Therefore, the lowest common multiple of 214,478,819,302,428 is 12650349348.

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 478 x 819 x 302 x 428 = 10828699041888

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

478 : 1, 2, 239, 478

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

302 : 1, 2, 151, 302

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,478,819,302,428, is 1.

Now, the common factors can be found like this.

214:2x 107

478:2x 239

819:3x 3x 7x 13

302:2x 151

428:2x 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.

2x 2x 2x 107 = 856

Therefore, the value for common factors is 856.

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 = 10828699041888/(1x856)

LCM = 10828699041888/856

LCM = 12650349348

Thus, we can understand that the LCM of 214,478,819,302,428 is 12650349348.

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

• LCM of 992, 963, 275, 540, 285
• LCM of 782, 511, 904, 576, 117
• LCM of 294, 425, 940, 696, 330
• LCM of 611, 851, 424, 511, 788
• LCM of 929, 935, 596, 837, 536

1. What is the LCM of 214, 478, 819, 302, 428?

Answer: LCM of 214, 478, 819, 302, 428 is 12650349348.

2. How to calculate the LCM of 214, 478, 819, 302, 428?

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, 478, 819, 302, 428.

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}.