Given numbers are 993,17,747

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

The LCM of 993,17,747 is 4203369.

Find LCM of 993,17,747 with Prime Factorization

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

3 x 331 x 17 x 249 = 4203369

Therefore, the lowest common multiple of 993,17,747 is 4203369.

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 747 = 12610107

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

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,17,747, is 1.

Now, the common factors can be found like this.

993:3x 331

17:17

747:3x 3x 83

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 = 12610107/(1x3)

LCM = 12610107/3

LCM = 4203369

Thus, we can understand that the LCM of 993,17,747 is 4203369.

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

• LCM of 204, 63, 825
• LCM of 137, 53, 954
• LCM of 582, 23, 532
• LCM of 703, 94, 289
• LCM of 600, 48, 445

1. What is the LCM of 993, 17, 747?

Answer: LCM of 993, 17, 747 is 4203369.

2. How to calculate the LCM of 993, 17, 747?

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, 747.

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}.