Find the LCM of 687, 766, 609, 288, 366 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 687, 766, 609, 288, 366. So, keep reading to learn more.
Given numbers are 687,766,609,288,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,766,609,288,366 is 312789824928.
Find LCM of 687,766,609,288,366 with Prime Factorization
2 | 687, 766, 609, 288, 366 |
3 | 687, 383, 609, 144, 183 |
229, 383, 203, 48, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 383 x 203 x 48 x 61 = 312789824928
Therefore, the lowest common multiple of 687,766,609,288,366 is 312789824928.
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 766 x 609 x 288 x 366 = 33781301092224
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
766 : 1, 2, 383, 766
609 : 1, 3, 7, 21, 29, 87, 203, 609
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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 687,766,609,288,366, is 1.
Now, the common factors can be found like this.
687:3x 229
766:2x 383
609:3x 7x 29
288:2x 2x 2x 2x 2x 3x 3
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 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 33781301092224/(1x108)
LCM = 33781301092224/108
LCM = 312789824928
Thus, we can understand that the LCM of 687,766,609,288,366 is 312789824928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 766, 609, 288, 366?
Answer: LCM of 687, 766, 609, 288, 366 is 312789824928.
2. How to calculate the LCM of 687, 766, 609, 288, 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, 766, 609, 288, 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}.