Given numbers are 45,51,36,193

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

The LCM of 45,51,36,193 is 590580.

Find LCM of 45,51,36,193 with Prime Factorization

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

3 x 3 x 5 x 17 x 4 x 193 = 590580

Therefore, the lowest common multiple of 45,51,36,193 is 590580.

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.

45 x 51 x 36 x 193 = 15945660

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.

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

51 : 1, 3, 17, 51

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

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 45,51,36,193, is 1.

Now, the common factors can be found like this.

45:3x 3x 5

51:3x 17

36:2x 2x 3x 3

193:193

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 15945660/(1x27)

LCM = 15945660/27

LCM = 590580

Thus, we can understand that the LCM of 45,51,36,193 is 590580.

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

• LCM of 76, 53, 95, 347
• LCM of 99, 43, 30, 594
• LCM of 28, 36, 39, 168
• LCM of 92, 60, 69, 481
• LCM of 42, 17, 93, 468

1. What is the LCM of 45, 51, 36, 193?

Answer: LCM of 45, 51, 36, 193 is 590580.

2. How to calculate the LCM of 45, 51, 36, 193?

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 45, 51, 36, 193.

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}.