LCM of 169, 942, 935, 831, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 942, 935, 831, 990 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 169, 942, 935, 831, 990. So, keep reading to learn more.
Given numbers are 169,942,935,831,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,942,935,831,990 is 123694458030.
Find LCM of 169,942,935,831,990 with Prime Factorization
| 2 | 169, 942, 935, 831, 990 |
| 3 | 169, 471, 935, 831, 495 |
| 5 | 169, 157, 935, 277, 165 |
| 11 | 169, 157, 187, 277, 33 |
| 169, 157, 17, 277, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 169 x 157 x 17 x 277 x 3 = 123694458030
Therefore, the lowest common multiple of 169,942,935,831,990 is 123694458030.
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.
169 x 942 x 935 x 831 x 990 = 122457513449700
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.
169 : 1, 13, 169
942 : 1, 2, 3, 6, 157, 314, 471, 942
935 : 1, 5, 11, 17, 55, 85, 187, 935
831 : 1, 3, 277, 831
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,942,935,831,990, is 1.
Now, the common factors can be found like this.
169:13x 13
942:2x 3x 157
935:5x 11x 17
831:3x 277
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 122457513449700/(1x990)
LCM = 122457513449700/990
LCM = 123694458030
Thus, we can understand that the LCM of 169,942,935,831,990 is 123694458030.
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FAQs on LCM of 169, 942, 935, 831, 990
1. What is the LCM of 169, 942, 935, 831, 990?
Answer: LCM of 169, 942, 935, 831, 990 is 123694458030.
2. How to calculate the LCM of 169, 942, 935, 831, 990?
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 169, 942, 935, 831, 990.
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}.