Given numbers are 252,996,204,680

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

The LCM of 252,996,204,680 is 3555720.

Find LCM of 252,996,204,680 with Prime Factorization

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

2 x 2 x 3 x 17 x 21 x 83 x 1 x 10 = 3555720

Therefore, the lowest common multiple of 252,996,204,680 is 3555720.

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.

252 x 996 x 204 x 680 = 34817610240

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,996,204,680, is 4.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

996:2x 2x 3x 83

204:2x 2x 3x 17

680:2x 2x 2x 5x 17

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 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 34817610240/(4x2448)

LCM = 34817610240/9792

LCM = 3555720

Thus, we can understand that the LCM of 252,996,204,680 is 3555720.

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

• LCM of 887, 719, 206, 837
• LCM of 734, 699, 895, 963
• LCM of 220, 403, 223, 196
• LCM of 917, 529, 272, 465
• LCM of 902, 953, 593, 896

1. What is the LCM of 252, 996, 204, 680?

Answer: LCM of 252, 996, 204, 680 is 3555720.

2. How to calculate the LCM of 252, 996, 204, 680?

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 252, 996, 204, 680.

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}.