Given numbers are 825,689,494,19

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

The LCM of 825,689,494,19 is 21600150.

Find LCM of 825,689,494,19 with Prime Factorization

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

13 x 19 x 825 x 53 x 2 x 1 = 21600150

Therefore, the lowest common multiple of 825,689,494,19 is 21600150.

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.

825 x 689 x 494 x 19 = 5335237050

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

689 : 1, 13, 53, 689

494 : 1, 2, 13, 19, 26, 38, 247, 494

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,689,494,19, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

689:13x 53

494:2x 13x 19

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.

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 5335237050/(1x247)

LCM = 5335237050/247

LCM = 21600150

Thus, we can understand that the LCM of 825,689,494,19 is 21600150.

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

• LCM of 857, 659, 392, 43
• LCM of 465, 526, 574, 88
• LCM of 193, 551, 575, 68
• LCM of 536, 144, 480, 35
• LCM of 275, 947, 432, 28

1. What is the LCM of 825, 689, 494, 19?

Answer: LCM of 825, 689, 494, 19 is 21600150.

2. How to calculate the LCM of 825, 689, 494, 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 825, 689, 494, 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}.