Given numbers are 405,327,169,822

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

The LCM of 405,327,169,822 is 2044178370.

Find LCM of 405,327,169,822 with Prime Factorization

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

3 x 135 x 109 x 169 x 274 = 2044178370

Therefore, the lowest common multiple of 405,327,169,822 is 2044178370.

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.

405 x 327 x 169 x 822 = 18397605330

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.

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

327 : 1, 3, 109, 327

169 : 1, 13, 169

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,327,169,822, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

327:3x 109

169:13x 13

822:2x 3x 137

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 18397605330/(1x9)

LCM = 18397605330/9

LCM = 2044178370

Thus, we can understand that the LCM of 405,327,169,822 is 2044178370.

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

• LCM of 421, 477, 150, 207
• LCM of 682, 328, 322, 856
• LCM of 839, 533, 851, 334
• LCM of 147, 213, 218, 161
• LCM of 877, 815, 825, 732

1. What is the LCM of 405, 327, 169, 822?

Answer: LCM of 405, 327, 169, 822 is 2044178370.

2. How to calculate the LCM of 405, 327, 169, 822?

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 405, 327, 169, 822.

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}.