Find the LCM of 687, 216, 312, 858, 754 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, 216, 312, 858, 754. So, keep reading to learn more.
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
2 | 687, 216, 312, 858, 754 |
2 | 687, 108, 156, 429, 377 |
2 | 687, 54, 78, 429, 377 |
3 | 687, 27, 39, 429, 377 |
13 | 229, 9, 13, 143, 377 |
229, 9, 1, 11, 29 |
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.
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}.