Given numbers are 872,38,171

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

The LCM of 872,38,171 is 149112.

Find LCM of 872,38,171 with Prime Factorization

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

2 x 19 x 436 x 1 x 9 = 149112

Therefore, the lowest common multiple of 872,38,171 is 149112.

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.

872 x 38 x 171 = 5666256

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

38 : 1, 2, 19, 38

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,38,171, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

38:2x 19

171:3x 3x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 5666256/(1x38)

LCM = 5666256/38

LCM = 149112

Thus, we can understand that the LCM of 872,38,171 is 149112.

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

• LCM of 736, 64, 782
• LCM of 703, 34, 336
• LCM of 171, 82, 710
• LCM of 535, 71, 320
• LCM of 166, 94, 643

1. What is the LCM of 872, 38, 171?

Answer: LCM of 872, 38, 171 is 149112.

2. How to calculate the LCM of 872, 38, 171?

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 872, 38, 171.

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}.