Given numbers are 422,405,505,723

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

The LCM of 422,405,505,723 is 4160120310.

Find LCM of 422,405,505,723 with Prime Factorization

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

3 x 5 x 422 x 27 x 101 x 241 = 4160120310

Therefore, the lowest common multiple of 422,405,505,723 is 4160120310.

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 405 x 505 x 723 = 62401804650

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

505 : 1, 5, 101, 505

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,405,505,723, is 1.

Now, the common factors can be found like this.

422:2x 211

405:3x 3x 3x 3x 5

505:5x 101

723:3x 241

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 62401804650/(1x15)

LCM = 62401804650/15

LCM = 4160120310

Thus, we can understand that the LCM of 422,405,505,723 is 4160120310.

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

• LCM of 531, 797, 388, 810
• LCM of 659, 934, 825, 279
• LCM of 223, 624, 824, 856
• LCM of 944, 981, 697, 848
• LCM of 224, 505, 751, 874

1. What is the LCM of 422, 405, 505, 723?

Answer: LCM of 422, 405, 505, 723 is 4160120310.

2. How to calculate the LCM of 422, 405, 505, 723?

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, 405, 505, 723.

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}.