Given numbers are 213,217,171,324

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

The LCM of 213,217,171,324 is 94845492.

Find LCM of 213,217,171,324 with Prime Factorization

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

3 x 3 x 71 x 217 x 19 x 36 = 94845492

Therefore, the lowest common multiple of 213,217,171,324 is 94845492.

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.

213 x 217 x 171 x 324 = 2560828284

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.

213 : 1, 3, 71, 213

217 : 1, 7, 31, 217

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,217,171,324, is 1.

Now, the common factors can be found like this.

213:3x 71

217:7x 31

171:3x 3x 19

324:2x 2x 3x 3x 3x 3

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 2560828284/(1x27)

LCM = 2560828284/27

LCM = 94845492

Thus, we can understand that the LCM of 213,217,171,324 is 94845492.

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

• LCM of 784, 326, 953, 777
• LCM of 708, 482, 931, 425
• LCM of 821, 773, 100, 374
• LCM of 190, 261, 426, 639
• LCM of 832, 213, 494, 296

1. What is the LCM of 213, 217, 171, 324?

Answer: LCM of 213, 217, 171, 324 is 94845492.

2. How to calculate the LCM of 213, 217, 171, 324?

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 213, 217, 171, 324.

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}.