Given numbers are 34,85,165

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

The LCM of 34,85,165 is 5610.

Find LCM of 34,85,165 with Prime Factorization

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

5 x 17 x 2 x 1 x 33 = 5610

Therefore, the lowest common multiple of 34,85,165 is 5610.

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.

34 x 85 x 165 = 476850

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.

34 : 1, 2, 17, 34

85 : 1, 5, 17, 85

165 : 1, 3, 5, 11, 15, 33, 55, 165

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 34,85,165, is 1.

Now, the common factors can be found like this.

34:2x 17

85:5x 17

165:3x 5x 11

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

5x 17 = 85

Therefore, the value for common factors is 85.

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 = 476850/(1x85)

LCM = 476850/85

LCM = 5610

Thus, we can understand that the LCM of 34,85,165 is 5610.

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

• LCM of 57, 35, 300
• LCM of 52, 70, 197
• LCM of 41, 36, 430
• LCM of 31, 35, 663
• LCM of 37, 82, 824

1. What is the LCM of 34, 85, 165?

Answer: LCM of 34, 85, 165 is 5610.

2. How to calculate the LCM of 34, 85, 165?

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 34, 85, 165.

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}.