LCM of 717, 663, 302, 620, 806
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 663, 302, 620, 806 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, 663, 302, 620, 806. So, keep reading to learn more.
Given numbers are 717,663,302,620,806
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,663,302,620,806 is 14834744340.
Find LCM of 717,663,302,620,806 with Prime Factorization
| 2 | 717, 663, 302, 620, 806 |
| 3 | 717, 663, 151, 310, 403 |
| 13 | 239, 221, 151, 310, 403 |
| 31 | 239, 17, 151, 310, 31 |
| 239, 17, 151, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 31 x 239 x 17 x 151 x 10 x 1 = 14834744340
Therefore, the lowest common multiple of 717,663,302,620,806 is 14834744340.
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 663 x 302 x 620 x 806 = 71740823628240
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
302 : 1, 2, 151, 302
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
806 : 1, 2, 13, 26, 31, 62, 403, 806
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,663,302,620,806, is 1.
Now, the common factors can be found like this.
717:3x 239
663:3x 13x 17
302:2x 151
620:2x 2x 5x 31
806:2x 13x 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 2x 3x 13x 31 = 4836
Therefore, the value for common factors is 4836.
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 = 71740823628240/(1x4836)
LCM = 71740823628240/4836
LCM = 14834744340
Thus, we can understand that the LCM of 717,663,302,620,806 is 14834744340.
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FAQs on LCM of 717, 663, 302, 620, 806
1. What is the LCM of 717, 663, 302, 620, 806?
Answer: LCM of 717, 663, 302, 620, 806 is 14834744340.
2. How to calculate the LCM of 717, 663, 302, 620, 806?
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, 663, 302, 620, 806.
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}.