Given numbers are 993,17,291

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

The LCM of 993,17,291 is 1637457.

Find LCM of 993,17,291 with Prime Factorization

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

3 x 331 x 17 x 97 = 1637457

Therefore, the lowest common multiple of 993,17,291 is 1637457.

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.

993 x 17 x 291 = 4912371

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.

993 : 1, 3, 331, 993

17 : 1, 17

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,17,291, is 1.

Now, the common factors can be found like this.

993:3x 331

17:17

291:3x 97

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 = 4912371/(1x3)

LCM = 4912371/3

LCM = 1637457

Thus, we can understand that the LCM of 993,17,291 is 1637457.

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

• LCM of 796, 60, 681
• LCM of 468, 77, 341
• LCM of 322, 95, 104
• LCM of 755, 50, 984
• LCM of 101, 82, 443

1. What is the LCM of 993, 17, 291?

Answer: LCM of 993, 17, 291 is 1637457.

2. How to calculate the LCM of 993, 17, 291?

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 993, 17, 291.

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}.