Given numbers are 505,502,380,438

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

The LCM of 505,502,380,438 is 2109710220.

Find LCM of 505,502,380,438 with Prime Factorization

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

2 x 5 x 101 x 251 x 38 x 219 = 2109710220

Therefore, the lowest common multiple of 505,502,380,438 is 2109710220.

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 502 x 380 x 438 = 42194204400

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

502 : 1, 2, 251, 502

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,502,380,438, is 1.

Now, the common factors can be found like this.

505:5x 101

502:2x 251

380:2x 2x 5x 19

438:2x 3x 73

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 42194204400/(1x20)

LCM = 42194204400/20

LCM = 2109710220

Thus, we can understand that the LCM of 505,502,380,438 is 2109710220.

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

• LCM of 800, 250, 602, 880
• LCM of 176, 273, 188, 462
• LCM of 100, 917, 276, 729
• LCM of 798, 661, 280, 256
• LCM of 515, 976, 683, 809

1. What is the LCM of 505, 502, 380, 438?

Answer: LCM of 505, 502, 380, 438 is 2109710220.

2. How to calculate the LCM of 505, 502, 380, 438?

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, 502, 380, 438.

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}.