LCM of 145, 969, 116, 891, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 969, 116, 891, 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 145, 969, 116, 891, 960. So, keep reading to learn more.
Given numbers are 145,969,116,891,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,969,116,891,960 is 2670719040.
Find LCM of 145,969,116,891,960 with Prime Factorization
| 2 | 145, 969, 116, 891, 960 |
| 2 | 145, 969, 58, 891, 480 |
| 3 | 145, 969, 29, 891, 240 |
| 5 | 145, 323, 29, 297, 80 |
| 29 | 29, 323, 29, 297, 16 |
| 1, 323, 1, 297, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 1 x 323 x 1 x 297 x 16 = 2670719040
Therefore, the lowest common multiple of 145,969,116,891,960 is 2670719040.
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.
145 x 969 x 116 x 891 x 960 = 13941153388800
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.
145 : 1, 5, 29, 145
969 : 1, 3, 17, 19, 51, 57, 323, 969
116 : 1, 2, 4, 29, 58, 116
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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 145,969,116,891,960, is 1.
Now, the common factors can be found like this.
145:5x 29
969:3x 17x 19
116:2x 2x 29
891:3x 3x 3x 3x 11
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 3x 3x 5x 29 = 5220
Therefore, the value for common factors is 5220.
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 = 13941153388800/(1x5220)
LCM = 13941153388800/5220
LCM = 2670719040
Thus, we can understand that the LCM of 145,969,116,891,960 is 2670719040.
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FAQs on LCM of 145, 969, 116, 891, 960
1. What is the LCM of 145, 969, 116, 891, 960?
Answer: LCM of 145, 969, 116, 891, 960 is 2670719040.
2. How to calculate the LCM of 145, 969, 116, 891, 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 145, 969, 116, 891, 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}.