Given numbers are 563,15,819

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

The LCM of 563,15,819 is 2305485.

Find LCM of 563,15,819 with Prime Factorization

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

3 x 563 x 5 x 273 = 2305485

Therefore, the lowest common multiple of 563,15,819 is 2305485.

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.

563 x 15 x 819 = 6916455

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.

563 : 1, 563

15 : 1, 3, 5, 15

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,15,819, is 1.

Now, the common factors can be found like this.

563:563

15:3x 5

819:3x 3x 7x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 6916455/(1x3)

LCM = 6916455/3

LCM = 2305485

Thus, we can understand that the LCM of 563,15,819 is 2305485.

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

• LCM of 735, 50, 510
• LCM of 413, 36, 745
• LCM of 686, 23, 268
• LCM of 583, 55, 224
• LCM of 629, 76, 469

1. What is the LCM of 563, 15, 819?

Answer: LCM of 563, 15, 819 is 2305485.

2. How to calculate the LCM of 563, 15, 819?

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 563, 15, 819.

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}.