Given numbers are 505,365,206,964

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

The LCM of 505,365,206,964 is 3660399580.

Find LCM of 505,365,206,964 with Prime Factorization

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

2 x 5 x 101 x 73 x 103 x 482 = 3660399580

Therefore, the lowest common multiple of 505,365,206,964 is 3660399580.

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 365 x 206 x 964 = 36603995800

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

365 : 1, 5, 73, 365

206 : 1, 2, 103, 206

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,365,206,964, is 1.

Now, the common factors can be found like this.

505:5x 101

365:5x 73

206:2x 103

964:2x 2x 241

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 36603995800/(1x10)

LCM = 36603995800/10

LCM = 3660399580

Thus, we can understand that the LCM of 505,365,206,964 is 3660399580.

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

• LCM of 543, 704, 603, 393
• LCM of 211, 328, 909, 607
• LCM of 339, 442, 384, 624
• LCM of 644, 759, 915, 334
• LCM of 123, 393, 774, 627

1. What is the LCM of 505, 365, 206, 964?

Answer: LCM of 505, 365, 206, 964 is 3660399580.

2. How to calculate the LCM of 505, 365, 206, 964?

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, 365, 206, 964.

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}.