Given numbers are 426,274,810,391,406

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

The LCM of 426,274,810,391,406 is 625369548510.

Find LCM of 426,274,810,391,406 with Prime Factorization

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

2 x 3 x 71 x 137 x 135 x 391 x 203 = 625369548510

Therefore, the lowest common multiple of 426,274,810,391,406 is 625369548510.

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.

426 x 274 x 810 x 391 x 406 = 15008869164240

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

274 : 1, 2, 137, 274

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

391 : 1, 17, 23, 391

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,274,810,391,406, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

274:2x 137

810:2x 3x 3x 3x 3x 5

391:17x 23

406:2x 7x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 15008869164240/(1x24)

LCM = 15008869164240/24

LCM = 625369548510

Thus, we can understand that the LCM of 426,274,810,391,406 is 625369548510.

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

• LCM of 667, 980, 233, 244, 666
• LCM of 167, 531, 126, 226, 908
• LCM of 218, 706, 580, 629, 620
• LCM of 618, 491, 752, 623, 827
• LCM of 390, 987, 337, 388, 778

1. What is the LCM of 426, 274, 810, 391, 406?

Answer: LCM of 426, 274, 810, 391, 406 is 625369548510.

2. How to calculate the LCM of 426, 274, 810, 391, 406?

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 426, 274, 810, 391, 406.

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}.