Given numbers are 171,57,109

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

The LCM of 171,57,109 is 18639.

Find LCM of 171,57,109 with Prime Factorization

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

3 x 19 x 3 x 1 x 109 = 18639

Therefore, the lowest common multiple of 171,57,109 is 18639.

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 57 x 109 = 1062423

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

57 : 1, 3, 19, 57

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,57,109, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

57:3x 19

109:109

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 1062423/(1x57)

LCM = 1062423/57

LCM = 18639

Thus, we can understand that the LCM of 171,57,109 is 18639.

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

• LCM of 996, 72, 651
• LCM of 745, 51, 631
• LCM of 273, 30, 326
• LCM of 209, 58, 748
• LCM of 582, 28, 102

1. What is the LCM of 171, 57, 109?

Answer: LCM of 171, 57, 109 is 18639.

2. How to calculate the LCM of 171, 57, 109?

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, 57, 109.

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}.