LCM of 159, 431, 806, 994, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 431, 806, 994, 923 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 159, 431, 806, 994, 923. So, keep reading to learn more.
Given numbers are 159,431,806,994,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,431,806,994,923 is 27451483878.
Find LCM of 159,431,806,994,923 with Prime Factorization
| 2 | 159, 431, 806, 994, 923 |
| 13 | 159, 431, 403, 497, 923 |
| 71 | 159, 431, 31, 497, 71 |
| 159, 431, 31, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 159 x 431 x 31 x 7 x 1 = 27451483878
Therefore, the lowest common multiple of 159,431,806,994,923 is 27451483878.
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.
159 x 431 x 806 x 994 x 923 = 50675439238788
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.
159 : 1, 3, 53, 159
431 : 1, 431
806 : 1, 2, 13, 26, 31, 62, 403, 806
994 : 1, 2, 7, 14, 71, 142, 497, 994
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,431,806,994,923, is 1.
Now, the common factors can be found like this.
159:3x 53
431:431
806:2x 13x 31
994:2x 7x 71
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 71 = 1846
Therefore, the value for common factors is 1846.
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 = 50675439238788/(1x1846)
LCM = 50675439238788/1846
LCM = 27451483878
Thus, we can understand that the LCM of 159,431,806,994,923 is 27451483878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 431, 806, 994, 923
1. What is the LCM of 159, 431, 806, 994, 923?
Answer: LCM of 159, 431, 806, 994, 923 is 27451483878.
2. How to calculate the LCM of 159, 431, 806, 994, 923?
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 159, 431, 806, 994, 923.
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}.