LCM of 686, 360, 816, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 360, 816, 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 686, 360, 816, 217. So, keep reading to learn more.
Given numbers are 686,360,816,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,360,816,217 is 130147920.
Find LCM of 686,360,816,217 with Prime Factorization
| 2 | 686, 360, 816, 217 |
| 2 | 343, 180, 408, 217 |
| 2 | 343, 90, 204, 217 |
| 3 | 343, 45, 102, 217 |
| 7 | 343, 15, 34, 217 |
| 49, 15, 34, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 49 x 15 x 34 x 31 = 130147920
Therefore, the lowest common multiple of 686,360,816,217 is 130147920.
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.
686 x 360 x 816 x 217 = 43729701120
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,360,816,217, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
360:2x 2x 2x 3x 3x 5
816:2x 2x 2x 2x 3x 17
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 2x 2x 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 43729701120/(1x336)
LCM = 43729701120/336
LCM = 130147920
Thus, we can understand that the LCM of 686,360,816,217 is 130147920.
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FAQs on LCM of 686, 360, 816, 217
1. What is the LCM of 686, 360, 816, 217?
Answer: LCM of 686, 360, 816, 217 is 130147920.
2. How to calculate the LCM of 686, 360, 816, 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 686, 360, 816, 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}.