Given numbers are 687,104,283,366

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

The LCM of 687,104,283,366 is 1233406824.

Find LCM of 687,104,283,366 with Prime Factorization

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

2 x 3 x 229 x 52 x 283 x 61 = 1233406824

Therefore, the lowest common multiple of 687,104,283,366 is 1233406824.

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 104 x 283 x 366 = 7400440944

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

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

283 : 1, 283

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,104,283,366, is 1.

Now, the common factors can be found like this.

687:3x 229

104:2x 2x 2x 13

283:283

366:2x 3x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7400440944/(1x6)

LCM = 7400440944/6

LCM = 1233406824

Thus, we can understand that the LCM of 687,104,283,366 is 1233406824.

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

• LCM of 817, 806, 782, 114
• LCM of 284, 114, 502, 970
• LCM of 870, 547, 202, 446
• LCM of 751, 435, 426, 596
• LCM of 710, 803, 105, 971

1. What is the LCM of 687, 104, 283, 366?

Answer: LCM of 687, 104, 283, 366 is 1233406824.

2. How to calculate the LCM of 687, 104, 283, 366?

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, 104, 283, 366.

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}.