Given numbers are 326,305,305,823,171

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

The LCM of 326,305,305,823,171 is 13993082190.

Find LCM of 326,305,305,823,171 with Prime Factorization

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

5 x 61 x 326 x 1 x 1 x 823 x 171 = 13993082190

Therefore, the lowest common multiple of 326,305,305,823,171 is 13993082190.

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.

326 x 305 x 305 x 823 x 171 = 4267890067950

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.

326 : 1, 2, 163, 326

305 : 1, 5, 61, 305

305 : 1, 5, 61, 305

823 : 1, 823

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 326,305,305,823,171, is 1.

Now, the common factors can be found like this.

326:2x 163

305:5x 61

305:5x 61

823:823

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.

5x 61 = 305

Therefore, the value for common factors is 305.

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 = 4267890067950/(1x305)

LCM = 4267890067950/305

LCM = 13993082190

Thus, we can understand that the LCM of 326,305,305,823,171 is 13993082190.

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

• LCM of 102, 433, 910, 616, 404
• LCM of 216, 452, 292, 432, 762
• LCM of 677, 705, 729, 426, 968
• LCM of 606, 371, 463, 529, 224
• LCM of 717, 885, 887, 365, 774

1. What is the LCM of 326, 305, 305, 823, 171?

Answer: LCM of 326, 305, 305, 823, 171 is 13993082190.

2. How to calculate the LCM of 326, 305, 305, 823, 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 326, 305, 305, 823, 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}.