Given numbers are 328,500,217,351,229

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

The LCM of 328,500,217,351,229 is 715131963000.

Find LCM of 328,500,217,351,229 with Prime Factorization

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

2 x 2 x 82 x 125 x 217 x 351 x 229 = 715131963000

Therefore, the lowest common multiple of 328,500,217,351,229 is 715131963000.

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.

328 x 500 x 217 x 351 x 229 = 2860527852000

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

217 : 1, 7, 31, 217

351 : 1, 3, 9, 13, 27, 39, 117, 351

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,500,217,351,229, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

500:2x 2x 5x 5x 5

217:7x 31

351:3x 3x 3x 13

229:229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2860527852000/(1x4)

LCM = 2860527852000/4

LCM = 715131963000

Thus, we can understand that the LCM of 328,500,217,351,229 is 715131963000.

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

• LCM of 520, 413, 350, 609, 358
• LCM of 209, 166, 503, 455, 316
• LCM of 233, 343, 332, 275, 489
• LCM of 369, 980, 990, 606, 483
• LCM of 713, 116, 238, 623, 795

1. What is the LCM of 328, 500, 217, 351, 229?

Answer: LCM of 328, 500, 217, 351, 229 is 715131963000.

2. How to calculate the LCM of 328, 500, 217, 351, 229?

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 328, 500, 217, 351, 229.

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}.