Given numbers are 422,684,418,201,814

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

The LCM of 422,684,418,201,814 is 3935571156.

Find LCM of 422,684,418,201,814 with Prime Factorization

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

2 x 3 x 11 x 19 x 211 x 6 x 1 x 67 x 37 = 3935571156

Therefore, the lowest common multiple of 422,684,418,201,814 is 3935571156.

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.

422 x 684 x 418 x 201 x 814 = 19740824918496

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.

422 : 1, 2, 211, 422

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

418 : 1, 2, 11, 19, 22, 38, 209, 418

201 : 1, 3, 67, 201

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,684,418,201,814, is 1.

Now, the common factors can be found like this.

422:2x 211

684:2x 2x 3x 3x 19

418:2x 11x 19

201:3x 67

814:2x 11x 37

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 11x 19 = 5016

Therefore, the value for common factors is 5016.

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 = 19740824918496/(1x5016)

LCM = 19740824918496/5016

LCM = 3935571156

Thus, we can understand that the LCM of 422,684,418,201,814 is 3935571156.

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

• LCM of 192, 655, 908, 222, 882
• LCM of 371, 946, 474, 407, 411
• LCM of 566, 830, 570, 142, 847
• LCM of 669, 915, 225, 227, 444
• LCM of 566, 148, 958, 576, 577

1. What is the LCM of 422, 684, 418, 201, 814?

Answer: LCM of 422, 684, 418, 201, 814 is 3935571156.

2. How to calculate the LCM of 422, 684, 418, 201, 814?

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 422, 684, 418, 201, 814.

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}.