Given numbers are 208,221,211,792,873

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

The LCM of 208,221,211,792,873 is 7164759888.

Find LCM of 208,221,211,792,873 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 2 x 17 x 211 x 11 x 97 = 7164759888

Therefore, the lowest common multiple of 208,221,211,792,873 is 7164759888.

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.

208 x 221 x 211 x 792 x 873 = 6706215255168

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.

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

221 : 1, 13, 17, 221

211 : 1, 211

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,221,211,792,873, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

221:13x 17

211:211

792:2x 2x 2x 3x 3x 11

873:3x 3x 97

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 6706215255168/(1x936)

LCM = 6706215255168/936

LCM = 7164759888

Thus, we can understand that the LCM of 208,221,211,792,873 is 7164759888.

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

• LCM of 185, 541, 600, 498, 618
• LCM of 733, 982, 894, 531, 904
• LCM of 649, 280, 914, 174, 384
• LCM of 520, 239, 598, 611, 168
• LCM of 949, 480, 933, 673, 693

1. What is the LCM of 208, 221, 211, 792, 873?

Answer: LCM of 208, 221, 211, 792, 873 is 7164759888.

2. How to calculate the LCM of 208, 221, 211, 792, 873?

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 208, 221, 211, 792, 873.

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}.