Given numbers are 257,388,249,279,687

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

The LCM of 257,388,249,279,687 is 528789261348.

Find LCM of 257,388,249,279,687 with Prime Factorization

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

3 x 257 x 388 x 83 x 93 x 229 = 528789261348

Therefore, the lowest common multiple of 257,388,249,279,687 is 528789261348.

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.

257 x 388 x 249 x 279 x 687 = 4759103352132

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.

257 : 1, 257

388 : 1, 2, 4, 97, 194, 388

249 : 1, 3, 83, 249

279 : 1, 3, 9, 31, 93, 279

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,388,249,279,687, is 1.

Now, the common factors can be found like this.

257:257

388:2x 2x 97

249:3x 83

279:3x 3x 31

687:3x 229

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 4759103352132/(1x9)

LCM = 4759103352132/9

LCM = 528789261348

Thus, we can understand that the LCM of 257,388,249,279,687 is 528789261348.

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

• LCM of 118, 224, 562, 634, 987
• LCM of 815, 501, 522, 937, 856
• LCM of 744, 253, 211, 269, 742
• LCM of 245, 178, 877, 120, 983
• LCM of 904, 200, 523, 482, 924

1. What is the LCM of 257, 388, 249, 279, 687?

Answer: LCM of 257, 388, 249, 279, 687 is 528789261348.

2. How to calculate the LCM of 257, 388, 249, 279, 687?

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 257, 388, 249, 279, 687.

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}.