Given numbers are 325,384,380,104,868

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

The LCM of 325,384,380,104,868 is 514550400.

Find LCM of 325,384,380,104,868 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 5 x 48 x 19 x 1 x 217 = 514550400

Therefore, the lowest common multiple of 325,384,380,104,868 is 514550400.

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.

325 x 384 x 380 x 104 x 868 = 4281059328000

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.

325 : 1, 5, 13, 25, 65, 325

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

104 : 1, 2, 4, 8, 13, 26, 52, 104

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,384,380,104,868, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

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

380:2x 2x 5x 19

104:2x 2x 2x 13

868:2x 2x 7x 31

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 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 4281059328000/(1x8320)

LCM = 4281059328000/8320

LCM = 514550400

Thus, we can understand that the LCM of 325,384,380,104,868 is 514550400.

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

• LCM of 870, 293, 925, 223, 588
• LCM of 814, 414, 413, 234, 250
• LCM of 506, 925, 466, 970, 142
• LCM of 459, 456, 213, 613, 359
• LCM of 864, 682, 981, 400, 422

1. What is the LCM of 325, 384, 380, 104, 868?

Answer: LCM of 325, 384, 380, 104, 868 is 514550400.

2. How to calculate the LCM of 325, 384, 380, 104, 868?

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 325, 384, 380, 104, 868.

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}.