LCM of 173, 104, 288, 976, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 104, 288, 976, 960 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 173, 104, 288, 976, 960. So, keep reading to learn more.
Given numbers are 173,104,288,976,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,104,288,976,960 is 395104320.
Find LCM of 173,104,288,976,960 with Prime Factorization
| 2 | 173, 104, 288, 976, 960 |
| 2 | 173, 52, 144, 488, 480 |
| 2 | 173, 26, 72, 244, 240 |
| 2 | 173, 13, 36, 122, 120 |
| 2 | 173, 13, 18, 61, 60 |
| 3 | 173, 13, 9, 61, 30 |
| 173, 13, 3, 61, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 173 x 13 x 3 x 61 x 10 = 395104320
Therefore, the lowest common multiple of 173,104,288,976,960 is 395104320.
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.
173 x 104 x 288 x 976 x 960 = 4855041884160
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.
173 : 1, 173
104 : 1, 2, 4, 8, 13, 26, 52, 104
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,104,288,976,960, is 1.
Now, the common factors can be found like this.
173:173
104:2x 2x 2x 13
288:2x 2x 2x 2x 2x 3x 3
976:2x 2x 2x 2x 61
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 2x 2x 2x 3 = 12288
Therefore, the value for common factors is 12288.
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 = 4855041884160/(1x12288)
LCM = 4855041884160/12288
LCM = 395104320
Thus, we can understand that the LCM of 173,104,288,976,960 is 395104320.
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FAQs on LCM of 173, 104, 288, 976, 960
1. What is the LCM of 173, 104, 288, 976, 960?
Answer: LCM of 173, 104, 288, 976, 960 is 395104320.
2. How to calculate the LCM of 173, 104, 288, 976, 960?
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 173, 104, 288, 976, 960.
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}.