Given numbers are 36,16,382

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

The LCM of 36,16,382 is 27504.

Find LCM of 36,16,382 with Prime Factorization

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

2 x 2 x 9 x 4 x 191 = 27504

Therefore, the lowest common multiple of 36,16,382 is 27504.

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.

36 x 16 x 382 = 220032

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.

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

16 : 1, 2, 4, 8, 16

382 : 1, 2, 191, 382

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 36,16,382, is 2.

Now, the common factors can be found like this.

36:2x 2x 3x 3

16:2x 2x 2x 2

382:2x 191

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 220032/(2x4)

LCM = 220032/8

LCM = 27504

Thus, we can understand that the LCM of 36,16,382 is 27504.

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

• LCM of 97, 42, 851
• LCM of 25, 11, 270
• LCM of 60, 10, 459
• LCM of 39, 61, 742
• LCM of 74, 27, 441

1. What is the LCM of 36, 16, 382?

Answer: LCM of 36, 16, 382 is 27504.

2. How to calculate the LCM of 36, 16, 382?

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 36, 16, 382.

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}.