LCM of 717, 812, 802, 364, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 812, 802, 364, 687 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, 812, 802, 364, 687. So, keep reading to learn more.
Given numbers are 717,812,802,364,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,812,802,364,687 is 695021744508.
Find LCM of 717,812,802,364,687 with Prime Factorization
| 2 | 717, 812, 802, 364, 687 |
| 2 | 717, 406, 401, 182, 687 |
| 3 | 717, 203, 401, 91, 687 |
| 7 | 239, 203, 401, 91, 229 |
| 239, 29, 401, 13, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 239 x 29 x 401 x 13 x 229 = 695021744508
Therefore, the lowest common multiple of 717,812,802,364,687 is 695021744508.
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 812 x 802 x 364 x 687 = 116763653077344
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
802 : 1, 2, 401, 802
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,812,802,364,687, is 1.
Now, the common factors can be found like this.
717:3x 239
812:2x 2x 7x 29
802:2x 401
364:2x 2x 7x 13
687:3x 229
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 116763653077344/(1x168)
LCM = 116763653077344/168
LCM = 695021744508
Thus, we can understand that the LCM of 717,812,802,364,687 is 695021744508.
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FAQs on LCM of 717, 812, 802, 364, 687
1. What is the LCM of 717, 812, 802, 364, 687?
Answer: LCM of 717, 812, 802, 364, 687 is 695021744508.
2. How to calculate the LCM of 717, 812, 802, 364, 687?
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, 812, 802, 364, 687.
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}.