Given numbers are 389,562,268,192,194

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

The LCM of 389,562,268,192,194 is 136396644672.

Find LCM of 389,562,268,192,194 with Prime Factorization

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

2 x 2 x 389 x 281 x 67 x 48 x 97 = 136396644672

Therefore, the lowest common multiple of 389,562,268,192,194 is 136396644672.

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.

389 x 562 x 268 x 192 x 194 = 2182346314752

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.

389 : 1, 389

562 : 1, 2, 281, 562

268 : 1, 2, 4, 67, 134, 268

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

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,562,268,192,194, is 1.

Now, the common factors can be found like this.

389:389

562:2x 281

268:2x 2x 67

192:2x 2x 2x 2x 2x 2x 3

194:2x 97

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 = 2182346314752/(1x16)

LCM = 2182346314752/16

LCM = 136396644672

Thus, we can understand that the LCM of 389,562,268,192,194 is 136396644672.

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

• LCM of 325, 842, 757, 422, 311
• LCM of 654, 702, 391, 564, 368
• LCM of 325, 152, 118, 214, 521
• LCM of 867, 381, 411, 308, 763
• LCM of 921, 354, 438, 133, 548

1. What is the LCM of 389, 562, 268, 192, 194?

Answer: LCM of 389, 562, 268, 192, 194 is 136396644672.

2. How to calculate the LCM of 389, 562, 268, 192, 194?

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 389, 562, 268, 192, 194.

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}.