LCM of 696, 702, 678, 364, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 702, 678, 364, 859 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 696, 702, 678, 364, 859. So, keep reading to learn more.
Given numbers are 696,702,678,364,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,702,678,364,859 is 55330519608.
Find LCM of 696,702,678,364,859 with Prime Factorization
| 2 | 696, 702, 678, 364, 859 |
| 2 | 348, 351, 339, 182, 859 |
| 3 | 174, 351, 339, 91, 859 |
| 13 | 58, 117, 113, 91, 859 |
| 58, 9, 113, 7, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 58 x 9 x 113 x 7 x 859 = 55330519608
Therefore, the lowest common multiple of 696,702,678,364,859 is 55330519608.
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.
696 x 702 x 678 x 364 x 859 = 103578732706176
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
678 : 1, 2, 3, 6, 113, 226, 339, 678
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,702,678,364,859, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
702:2x 3x 3x 3x 13
678:2x 3x 113
364:2x 2x 7x 13
859:859
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 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 103578732706176/(1x1872)
LCM = 103578732706176/1872
LCM = 55330519608
Thus, we can understand that the LCM of 696,702,678,364,859 is 55330519608.
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FAQs on LCM of 696, 702, 678, 364, 859
1. What is the LCM of 696, 702, 678, 364, 859?
Answer: LCM of 696, 702, 678, 364, 859 is 55330519608.
2. How to calculate the LCM of 696, 702, 678, 364, 859?
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 696, 702, 678, 364, 859.
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}.