Find the LCM of 717, 451, 286, 162, 217 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 717, 451, 286, 162, 217. So, keep reading to learn more.
Given numbers are 717,451,286,162,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,451,286,162,217 is 49259788578.
Find LCM of 717,451,286,162,217 with Prime Factorization
2 | 717, 451, 286, 162, 217 |
3 | 717, 451, 143, 81, 217 |
11 | 239, 451, 143, 27, 217 |
239, 41, 13, 27, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 239 x 41 x 13 x 27 x 217 = 49259788578
Therefore, the lowest common multiple of 717,451,286,162,217 is 49259788578.
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.
717 x 451 x 286 x 162 x 217 = 3251146046148
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.
717 : 1, 3, 239, 717
451 : 1, 11, 41, 451
286 : 1, 2, 11, 13, 22, 26, 143, 286
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,451,286,162,217, is 1.
Now, the common factors can be found like this.
717:3x 239
451:11x 41
286:2x 11x 13
162:2x 3x 3x 3x 3
217:7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 3251146046148/(1x66)
LCM = 3251146046148/66
LCM = 49259788578
Thus, we can understand that the LCM of 717,451,286,162,217 is 49259788578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 451, 286, 162, 217?
Answer: LCM of 717, 451, 286, 162, 217 is 49259788578.
2. How to calculate the LCM of 717, 451, 286, 162, 217?
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 717, 451, 286, 162, 217.
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}.