LCM of 171, 817, 815, 972, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 171, 817, 815, 972, 935 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 171, 817, 815, 972, 935. So, keep reading to learn more.
Given numbers are 171,817,815,972,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,817,815,972,935 is 121028468220.
Find LCM of 171,817,815,972,935 with Prime Factorization
| 3 | 171, 817, 815, 972, 935 |
| 3 | 57, 817, 815, 324, 935 |
| 5 | 19, 817, 815, 108, 935 |
| 19 | 19, 817, 163, 108, 187 |
| 1, 43, 163, 108, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 1 x 43 x 163 x 108 x 187 = 121028468220
Therefore, the lowest common multiple of 171,817,815,972,935 is 121028468220.
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.
171 x 817 x 815 x 972 x 935 = 103479340328100
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.
171 : 1, 3, 9, 19, 57, 171
817 : 1, 19, 43, 817
815 : 1, 5, 163, 815
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,817,815,972,935, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
817:19x 43
815:5x 163
972:2x 2x 3x 3x 3x 3x 3
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 19 = 855
Therefore, the value for common factors is 855.
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 = 103479340328100/(1x855)
LCM = 103479340328100/855
LCM = 121028468220
Thus, we can understand that the LCM of 171,817,815,972,935 is 121028468220.
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FAQs on LCM of 171, 817, 815, 972, 935
1. What is the LCM of 171, 817, 815, 972, 935?
Answer: LCM of 171, 817, 815, 972, 935 is 121028468220.
2. How to calculate the LCM of 171, 817, 815, 972, 935?
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 171, 817, 815, 972, 935.
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}.