Given numbers are 33,27,168

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

The LCM of 33,27,168 is 16632.

Find LCM of 33,27,168 with Prime Factorization

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

3 x 11 x 9 x 56 = 16632

Therefore, the lowest common multiple of 33,27,168 is 16632.

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.

33 x 27 x 168 = 149688

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.

33 : 1, 3, 11, 33

27 : 1, 3, 9, 27

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 33,27,168, is 3.

Now, the common factors can be found like this.

33:3x 11

27:3x 3x 3

168:2x 2x 2x 3x 7

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 = 149688/(3x3)

LCM = 149688/9

LCM = 16632

Thus, we can understand that the LCM of 33,27,168 is 16632.

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

• LCM of 32, 14, 825
• LCM of 67, 71, 382
• LCM of 81, 17, 355
• LCM of 20, 96, 480
• LCM of 12, 96, 679

1. What is the LCM of 33, 27, 168?

Answer: LCM of 33, 27, 168 is 16632.

2. How to calculate the LCM of 33, 27, 168?

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 33, 27, 168.

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}.