Given numbers are 66,37,369

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

The LCM of 66,37,369 is 300366.

Find LCM of 66,37,369 with Prime Factorization

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

3 x 22 x 37 x 123 = 300366

Therefore, the lowest common multiple of 66,37,369 is 300366.

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.

66 x 37 x 369 = 901098

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.

66 : 1, 2, 3, 6, 11, 22, 33, 66

37 : 1, 37

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 66,37,369, is 1.

Now, the common factors can be found like this.

66:2x 3x 11

37:37

369:3x 3x 41

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 = 901098/(1x3)

LCM = 901098/3

LCM = 300366

Thus, we can understand that the LCM of 66,37,369 is 300366.

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

• LCM of 28, 67, 884
• LCM of 52, 45, 788
• LCM of 59, 10, 224
• LCM of 71, 23, 525
• LCM of 66, 70, 230

1. What is the LCM of 66, 37, 369?

Answer: LCM of 66, 37, 369 is 300366.

2. How to calculate the LCM of 66, 37, 369?

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 66, 37, 369.

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}.