Given numbers are 33,45,330

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

The LCM of 33,45,330 is 990.

Find LCM of 33,45,330 with Prime Factorization

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

3 x 5 x 11 x 1 x 3 x 2 = 990

Therefore, the lowest common multiple of 33,45,330 is 990.

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 45 x 330 = 490050

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

45 : 1, 3, 5, 9, 15, 45

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 33,45,330, is 3.

Now, the common factors can be found like this.

33:3x 11

45:3x 3x 5

330:2x 3x 5x 11

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 490050/(3x165)

LCM = 490050/495

LCM = 990

Thus, we can understand that the LCM of 33,45,330 is 990.

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

• LCM of 69, 85, 716
• LCM of 32, 77, 317
• LCM of 94, 18, 430
• LCM of 93, 63, 171
• LCM of 49, 74, 727

1. What is the LCM of 33, 45, 330?

Answer: LCM of 33, 45, 330 is 990.

2. How to calculate the LCM of 33, 45, 330?

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, 45, 330.

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}.