Given numbers are 872,504,489,19

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

The LCM of 872,504,489,19 is 170136792.

Find LCM of 872,504,489,19 with Prime Factorization

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

2 x 2 x 2 x 3 x 109 x 21 x 163 x 19 = 170136792

Therefore, the lowest common multiple of 872,504,489,19 is 170136792.

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.

872 x 504 x 489 x 19 = 4083283008

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

489 : 1, 3, 163, 489

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,504,489,19, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

504:2x 2x 2x 3x 3x 7

489:3x 163

19:19

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 = 4083283008/(1x24)

LCM = 4083283008/24

LCM = 170136792

Thus, we can understand that the LCM of 872,504,489,19 is 170136792.

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

• LCM of 617, 264, 929, 82
• LCM of 122, 887, 594, 19
• LCM of 814, 366, 390, 30
• LCM of 230, 708, 299, 10
• LCM of 342, 162, 832, 23

1. What is the LCM of 872, 504, 489, 19?

Answer: LCM of 872, 504, 489, 19 is 170136792.

2. How to calculate the LCM of 872, 504, 489, 19?

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 872, 504, 489, 19.

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}.