Given numbers are 597,15,174

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

The LCM of 597,15,174 is 173130.

Find LCM of 597,15,174 with Prime Factorization

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

3 x 199 x 5 x 58 = 173130

Therefore, the lowest common multiple of 597,15,174 is 173130.

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.

597 x 15 x 174 = 1558170

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.

597 : 1, 3, 199, 597

15 : 1, 3, 5, 15

174 : 1, 2, 3, 6, 29, 58, 87, 174

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,15,174, is 3.

Now, the common factors can be found like this.

597:3x 199

15:3x 5

174:2x 3x 29

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 = 1558170/(3x3)

LCM = 1558170/9

LCM = 173130

Thus, we can understand that the LCM of 597,15,174 is 173130.

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

• LCM of 390, 24, 502
• LCM of 493, 56, 447
• LCM of 815, 33, 301
• LCM of 751, 69, 104
• LCM of 749, 73, 665

1. What is the LCM of 597, 15, 174?

Answer: LCM of 597, 15, 174 is 173130.

2. How to calculate the LCM of 597, 15, 174?

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 597, 15, 174.

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}.