Given numbers are 171,226,178

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

The LCM of 171,226,178 is 3439494.

Find LCM of 171,226,178 with Prime Factorization

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

2 x 171 x 113 x 89 = 3439494

Therefore, the lowest common multiple of 171,226,178 is 3439494.

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.

171 x 226 x 178 = 6878988

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.

171 : 1, 3, 9, 19, 57, 171

226 : 1, 2, 113, 226

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,226,178, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

226:2x 113

178:2x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6878988/(1x2)

LCM = 6878988/2

LCM = 3439494

Thus, we can understand that the LCM of 171,226,178 is 3439494.

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

• LCM of 445, 424, 685
• LCM of 769, 257, 891
• LCM of 804, 815, 723
• LCM of 753, 195, 733
• LCM of 991, 694, 341

1. What is the LCM of 171, 226, 178?

Answer: LCM of 171, 226, 178 is 3439494.

2. How to calculate the LCM of 171, 226, 178?

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 171, 226, 178.

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}.