Given numbers are 384,371,201,165,324

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

The LCM of 384,371,201,165,324 is 14174455680.

Find LCM of 384,371,201,165,324 with Prime Factorization

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

2 x 2 x 3 x 32 x 371 x 67 x 55 x 27 = 14174455680

Therefore, the lowest common multiple of 384,371,201,165,324 is 14174455680.

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.

384 x 371 x 201 x 165 x 324 = 1530841213440

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.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

371 : 1, 7, 53, 371

201 : 1, 3, 67, 201

165 : 1, 3, 5, 11, 15, 33, 55, 165

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 384,371,201,165,324, is 1.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

371:7x 53

201:3x 67

165:3x 5x 11

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.

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 1530841213440/(1x108)

LCM = 1530841213440/108

LCM = 14174455680

Thus, we can understand that the LCM of 384,371,201,165,324 is 14174455680.

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

• LCM of 820, 470, 955, 720, 943
• LCM of 932, 321, 387, 491, 179
• LCM of 227, 976, 960, 786, 353
• LCM of 398, 239, 267, 301, 860
• LCM of 119, 546, 549, 303, 757

1. What is the LCM of 384, 371, 201, 165, 324?

Answer: LCM of 384, 371, 201, 165, 324 is 14174455680.

2. How to calculate the LCM of 384, 371, 201, 165, 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 384, 371, 201, 165, 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}.