Given numbers are 284,514,687,715

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

The LCM of 284,514,687,715 is 35852070540.

Find LCM of 284,514,687,715 with Prime Factorization

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

2 x 142 x 257 x 687 x 715 = 35852070540

Therefore, the lowest common multiple of 284,514,687,715 is 35852070540.

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.

284 x 514 x 687 x 715 = 71704141080

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.

284 : 1, 2, 4, 71, 142, 284

514 : 1, 2, 257, 514

687 : 1, 3, 229, 687

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,514,687,715, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

514:2x 257

687:3x 229

715:5x 11x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 71704141080/(1x2)

LCM = 71704141080/2

LCM = 35852070540

Thus, we can understand that the LCM of 284,514,687,715 is 35852070540.

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

• LCM of 352, 187, 699, 955
• LCM of 104, 605, 317, 949
• LCM of 228, 882, 567, 256
• LCM of 559, 444, 872, 874
• LCM of 232, 278, 142, 935

1. What is the LCM of 284, 514, 687, 715?

Answer: LCM of 284, 514, 687, 715 is 35852070540.

2. How to calculate the LCM of 284, 514, 687, 715?

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 284, 514, 687, 715.

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}.