Given numbers are 488,305,389,394

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

The LCM of 488,305,389,394 is 186984520.

Find LCM of 488,305,389,394 with Prime Factorization

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

2 x 61 x 4 x 5 x 389 x 197 = 186984520

Therefore, the lowest common multiple of 488,305,389,394 is 186984520.

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.

488 x 305 x 389 x 394 = 22812111440

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

305 : 1, 5, 61, 305

389 : 1, 389

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,305,389,394, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

305:5x 61

389:389

394:2x 197

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 22812111440/(1x122)

LCM = 22812111440/122

LCM = 186984520

Thus, we can understand that the LCM of 488,305,389,394 is 186984520.

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

• LCM of 780, 736, 466, 215
• LCM of 945, 832, 474, 196
• LCM of 217, 337, 629, 993
• LCM of 262, 577, 816, 957
• LCM of 315, 875, 992, 924

1. What is the LCM of 488, 305, 389, 394?

Answer: LCM of 488, 305, 389, 394 is 186984520.

2. How to calculate the LCM of 488, 305, 389, 394?

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 488, 305, 389, 394.

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}.