Given numbers are 328,396,384,232,102

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

The LCM of 328,396,384,232,102 is 256139136.

Find LCM of 328,396,384,232,102 with Prime Factorization

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

2 x 2 x 2 x 3 x 41 x 33 x 16 x 29 x 17 = 256139136

Therefore, the lowest common multiple of 328,396,384,232,102 is 256139136.

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 396 x 384 x 232 x 102 = 1180289138688

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

102 : 1, 2, 3, 6, 17, 34, 51, 102

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,396,384,232,102, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

396:2x 2x 3x 3x 11

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

232:2x 2x 2x 29

102:2x 3x 17

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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 1180289138688/(2x2304)

LCM = 1180289138688/4608

LCM = 256139136

Thus, we can understand that the LCM of 328,396,384,232,102 is 256139136.

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

• LCM of 978, 292, 369, 681, 685
• LCM of 491, 904, 285, 607, 515
• LCM of 490, 217, 424, 144, 501
• LCM of 847, 266, 889, 944, 839
• LCM of 912, 673, 760, 934, 106

1. What is the LCM of 328, 396, 384, 232, 102?

Answer: LCM of 328, 396, 384, 232, 102 is 256139136.

2. How to calculate the LCM of 328, 396, 384, 232, 102?

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, 396, 384, 232, 102.

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}.