Given numbers are 328,146,331,368

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

The LCM of 328,146,331,368 is 364571344.

Find LCM of 328,146,331,368 with Prime Factorization

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

2 x 2 x 2 x 41 x 73 x 331 x 46 = 364571344

Therefore, the lowest common multiple of 328,146,331,368 is 364571344.

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 146 x 331 x 368 = 5833141504

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

146 : 1, 2, 73, 146

331 : 1, 331

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,146,331,368, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

146:2x 73

331:331

368:2x 2x 2x 2x 23

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 5833141504/(1x16)

LCM = 5833141504/16

LCM = 364571344

Thus, we can understand that the LCM of 328,146,331,368 is 364571344.

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

• LCM of 208, 341, 500, 175
• LCM of 133, 960, 190, 188
• LCM of 631, 356, 680, 799
• LCM of 439, 219, 196, 422
• LCM of 877, 940, 572, 137

1. What is the LCM of 328, 146, 331, 368?

Answer: LCM of 328, 146, 331, 368 is 364571344.

2. How to calculate the LCM of 328, 146, 331, 368?

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, 146, 331, 368.

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}.