LCM of 796, 988, 905, 949, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 988, 905, 949, 171 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 796, 988, 905, 949, 171. So, keep reading to learn more.
Given numbers are 796,988,905,949,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,988,905,949,171 is 116902546020.
Find LCM of 796,988,905,949,171 with Prime Factorization
| 2 | 796, 988, 905, 949, 171 |
| 2 | 398, 494, 905, 949, 171 |
| 13 | 199, 247, 905, 949, 171 |
| 19 | 199, 19, 905, 73, 171 |
| 199, 1, 905, 73, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 199 x 1 x 905 x 73 x 9 = 116902546020
Therefore, the lowest common multiple of 796,988,905,949,171 is 116902546020.
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.
796 x 988 x 905 x 949 x 171 = 115499715467760
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.
796 : 1, 2, 4, 199, 398, 796
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
905 : 1, 5, 181, 905
949 : 1, 13, 73, 949
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,988,905,949,171, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
988:2x 2x 13x 19
905:5x 181
949:13x 73
171:3x 3x 19
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 115499715467760/(1x988)
LCM = 115499715467760/988
LCM = 116902546020
Thus, we can understand that the LCM of 796,988,905,949,171 is 116902546020.
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FAQs on LCM of 796, 988, 905, 949, 171
1. What is the LCM of 796, 988, 905, 949, 171?
Answer: LCM of 796, 988, 905, 949, 171 is 116902546020.
2. How to calculate the LCM of 796, 988, 905, 949, 171?
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 796, 988, 905, 949, 171.
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}.