Given numbers are 505,205,869

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

The LCM of 505,205,869 is 17992645.

Find LCM of 505,205,869 with Prime Factorization

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

5 x 101 x 41 x 869 = 17992645

Therefore, the lowest common multiple of 505,205,869 is 17992645.

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 205 x 869 = 89963225

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

205 : 1, 5, 41, 205

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,205,869, is 1.

Now, the common factors can be found like this.

505:5x 101

205:5x 41

869:11x 79

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 = 89963225/(1x5)

LCM = 89963225/5

LCM = 17992645

Thus, we can understand that the LCM of 505,205,869 is 17992645.

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

• LCM of 906, 574, 124
• LCM of 891, 614, 910
• LCM of 284, 704, 197
• LCM of 530, 324, 152
• LCM of 476, 266, 864

1. What is the LCM of 505, 205, 869?

Answer: LCM of 505, 205, 869 is 17992645.

2. How to calculate the LCM of 505, 205, 869?

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, 205, 869.

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}.