Given numbers are 505,331,208,976

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

The LCM of 505,331,208,976 is 2120862640.

Find LCM of 505,331,208,976 with Prime Factorization

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

2 x 2 x 2 x 2 x 505 x 331 x 13 x 61 = 2120862640

Therefore, the lowest common multiple of 505,331,208,976 is 2120862640.

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 331 x 208 x 976 = 33933802240

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

331 : 1, 331

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,331,208,976, is 1.

Now, the common factors can be found like this.

505:5x 101

331:331

208:2x 2x 2x 2x 13

976:2x 2x 2x 2x 61

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 33933802240/(1x16)

LCM = 33933802240/16

LCM = 2120862640

Thus, we can understand that the LCM of 505,331,208,976 is 2120862640.

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

• LCM of 382, 753, 419, 380
• LCM of 363, 843, 108, 394
• LCM of 936, 519, 412, 437
• LCM of 715, 526, 155, 390
• LCM of 263, 250, 551, 463

1. What is the LCM of 505, 331, 208, 976?

Answer: LCM of 505, 331, 208, 976 is 2120862640.

2. How to calculate the LCM of 505, 331, 208, 976?

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, 331, 208, 976.

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}.