Given numbers are 687,216,312,858,754

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

The LCM of 687,216,312,858,754 is 205127208.

Find LCM of 687,216,312,858,754 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 229 x 9 x 1 x 11 x 29 = 205127208

Therefore, the lowest common multiple of 687,216,312,858,754 is 205127208.

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.

687 x 216 x 312 x 858 x 754 = 29951854403328

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.

687 : 1, 3, 229, 687

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,216,312,858,754, is 1.

Now, the common factors can be found like this.

687:3x 229

216:2x 2x 2x 3x 3x 3

312:2x 2x 2x 3x 13

858:2x 3x 11x 13

754:2x 13x 29

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 2x 3x 3x 3x 13x 13 = 146016

Therefore, the value for common factors is 146016.

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 = 29951854403328/(1x146016)

LCM = 29951854403328/146016

LCM = 205127208

Thus, we can understand that the LCM of 687,216,312,858,754 is 205127208.

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

• LCM of 136, 322, 629, 380, 256
• LCM of 813, 106, 731, 360, 405
• LCM of 280, 415, 396, 252, 185
• LCM of 607, 869, 469, 326, 113
• LCM of 262, 343, 219, 101, 998

1. What is the LCM of 687, 216, 312, 858, 754?

Answer: LCM of 687, 216, 312, 858, 754 is 205127208.

2. How to calculate the LCM of 687, 216, 312, 858, 754?

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 687, 216, 312, 858, 754.

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}.