LCM of 966, 667, 216, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 667, 216, 165 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 966, 667, 216, 165. So, keep reading to learn more.
Given numbers are 966,667,216,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,667,216,165 is 55467720.
Find LCM of 966,667,216,165 with Prime Factorization
| 2 | 966, 667, 216, 165 |
| 3 | 483, 667, 108, 165 |
| 23 | 161, 667, 36, 55 |
| 7, 29, 36, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 29 x 36 x 55 = 55467720
Therefore, the lowest common multiple of 966,667,216,165 is 55467720.
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.
966 x 667 x 216 x 165 = 22963636080
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
667 : 1, 23, 29, 667
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,667,216,165, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
667:23x 29
216:2x 2x 2x 3x 3x 3
165:3x 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 23 = 414
Therefore, the value for common factors is 414.
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 = 22963636080/(1x414)
LCM = 22963636080/414
LCM = 55467720
Thus, we can understand that the LCM of 966,667,216,165 is 55467720.
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FAQs on LCM of 966, 667, 216, 165
1. What is the LCM of 966, 667, 216, 165?
Answer: LCM of 966, 667, 216, 165 is 55467720.
2. How to calculate the LCM of 966, 667, 216, 165?
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 966, 667, 216, 165.
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}.