LCM of 686, 814, 792, 732, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 814, 792, 732, 517 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, 814, 792, 732, 517. So, keep reading to learn more.
Given numbers are 686,814,792,732,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,814,792,732,517 is 28816996824.
Find LCM of 686,814,792,732,517 with Prime Factorization
| 2 | 686, 814, 792, 732, 517 |
| 2 | 343, 407, 396, 366, 517 |
| 3 | 343, 407, 198, 183, 517 |
| 11 | 343, 407, 66, 61, 517 |
| 343, 37, 6, 61, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 343 x 37 x 6 x 61 x 47 = 28816996824
Therefore, the lowest common multiple of 686,814,792,732,517 is 28816996824.
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 814 x 792 x 732 x 517 = 167369117553792
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,814,792,732,517, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
814:2x 11x 37
792:2x 2x 2x 3x 3x 11
732:2x 2x 3x 61
517:11x 47
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 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 167369117553792/(1x5808)
LCM = 167369117553792/5808
LCM = 28816996824
Thus, we can understand that the LCM of 686,814,792,732,517 is 28816996824.
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FAQs on LCM of 686, 814, 792, 732, 517
1. What is the LCM of 686, 814, 792, 732, 517?
Answer: LCM of 686, 814, 792, 732, 517 is 28816996824.
2. How to calculate the LCM of 686, 814, 792, 732, 517?
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, 814, 792, 732, 517.
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}.