Given numbers are 505,123,305

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

The LCM of 505,123,305 is 3789015.

Find LCM of 505,123,305 with Prime Factorization

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

5 x 101 x 123 x 61 = 3789015

Therefore, the lowest common multiple of 505,123,305 is 3789015.

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.

505 x 123 x 305 = 18945075

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.

505 : 1, 5, 101, 505

123 : 1, 3, 41, 123

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,123,305, is 1.

Now, the common factors can be found like this.

505:5x 101

123:3x 41

305:5x 61

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

5 = 5

Therefore, the value for common factors is 5.

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 = 18945075/(1x5)

LCM = 18945075/5

LCM = 3789015

Thus, we can understand that the LCM of 505,123,305 is 3789015.

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

• LCM of 942, 339, 352
• LCM of 381, 633, 145
• LCM of 564, 381, 973
• LCM of 587, 555, 770
• LCM of 783, 311, 237

1. What is the LCM of 505, 123, 305?

Answer: LCM of 505, 123, 305 is 3789015.

2. How to calculate the LCM of 505, 123, 305?

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 505, 123, 305.

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}.