Given numbers are 403,13,585

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

The LCM of 403,13,585 is 18135.

Find LCM of 403,13,585 with Prime Factorization

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

13 x 31 x 1 x 45 = 18135

Therefore, the lowest common multiple of 403,13,585 is 18135.

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.

403 x 13 x 585 = 3064815

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.

403 : 1, 13, 31, 403

13 : 1, 13

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,13,585, is 13.

Now, the common factors can be found like this.

403:13x 31

13:13

585:3x 3x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 3064815/(13x13)

LCM = 3064815/169

LCM = 18135

Thus, we can understand that the LCM of 403,13,585 is 18135.

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

• LCM of 464, 94, 108
• LCM of 311, 16, 453
• LCM of 662, 53, 612
• LCM of 921, 66, 867
• LCM of 571, 29, 646

1. What is the LCM of 403, 13, 585?

Answer: LCM of 403, 13, 585 is 18135.

2. How to calculate the LCM of 403, 13, 585?

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 403, 13, 585.

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}.