LCM of 696, 582, 899, 186, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 582, 899, 186, 312 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, 582, 899, 186, 312. So, keep reading to learn more.
Given numbers are 696,582,899,186,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,582,899,186,312 is 27207336.
Find LCM of 696,582,899,186,312 with Prime Factorization
| 2 | 696, 582, 899, 186, 312 |
| 2 | 348, 291, 899, 93, 156 |
| 2 | 174, 291, 899, 93, 78 |
| 3 | 87, 291, 899, 93, 39 |
| 29 | 29, 97, 899, 31, 13 |
| 31 | 1, 97, 31, 31, 13 |
| 1, 97, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 31 x 1 x 97 x 1 x 1 x 13 = 27207336
Therefore, the lowest common multiple of 696,582,899,186,312 is 27207336.
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 582 x 899 x 186 x 312 = 21132917335296
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
582 : 1, 2, 3, 6, 97, 194, 291, 582
899 : 1, 29, 31, 899
186 : 1, 2, 3, 6, 31, 62, 93, 186
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,582,899,186,312, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
582:2x 3x 97
899:29x 31
186:2x 3x 31
312:2x 2x 2x 3x 13
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 2x 3x 3x 3x 29x 31 = 776736
Therefore, the value for common factors is 776736.
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 = 21132917335296/(1x776736)
LCM = 21132917335296/776736
LCM = 27207336
Thus, we can understand that the LCM of 696,582,899,186,312 is 27207336.
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FAQs on LCM of 696, 582, 899, 186, 312
1. What is the LCM of 696, 582, 899, 186, 312?
Answer: LCM of 696, 582, 899, 186, 312 is 27207336.
2. How to calculate the LCM of 696, 582, 899, 186, 312?
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, 582, 899, 186, 312.
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}.