Given numbers are 488,61,405

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

The LCM of 488,61,405 is 197640.

Find LCM of 488,61,405 with Prime Factorization

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

61 x 8 x 1 x 405 = 197640

Therefore, the lowest common multiple of 488,61,405 is 197640.

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 61 x 405 = 12056040

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

61 : 1, 61

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,61,405, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

61:61

405:3x 3x 3x 3x 5

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

61 = 61

Therefore, the value for common factors is 61.

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 = 12056040/(1x61)

LCM = 12056040/61

LCM = 197640

Thus, we can understand that the LCM of 488,61,405 is 197640.

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

• LCM of 278, 77, 480
• LCM of 205, 25, 469
• LCM of 273, 63, 287
• LCM of 190, 66, 311
• LCM of 873, 42, 353

1. What is the LCM of 488, 61, 405?

Answer: LCM of 488, 61, 405 is 197640.

2. How to calculate the LCM of 488, 61, 405?

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, 61, 405.

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}.