Given numbers are 319,89,174

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

The LCM of 319,89,174 is 170346.

Find LCM of 319,89,174 with Prime Factorization

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

29 x 11 x 89 x 6 = 170346

Therefore, the lowest common multiple of 319,89,174 is 170346.

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.

319 x 89 x 174 = 4940034

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.

319 : 1, 11, 29, 319

89 : 1, 89

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,89,174, is 1.

Now, the common factors can be found like this.

319:11x 29

89:89

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.

29 = 29

Therefore, the value for common factors is 29.

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 = 4940034/(1x29)

LCM = 4940034/29

LCM = 170346

Thus, we can understand that the LCM of 319,89,174 is 170346.

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

• LCM of 429, 87, 214
• LCM of 113, 85, 548
• LCM of 636, 34, 361
• LCM of 211, 94, 133
• LCM of 575, 51, 832

1. What is the LCM of 319, 89, 174?

Answer: LCM of 319, 89, 174 is 170346.

2. How to calculate the LCM of 319, 89, 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 319, 89, 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}.