LCM of 405, 667, 161, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 667, 161, 999 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 405, 667, 161, 999. So, keep reading to learn more.
Given numbers are 405,667,161,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,667,161,999 is 69964965.
Find LCM of 405,667,161,999 with Prime Factorization
| 3 | 405, 667, 161, 999 |
| 3 | 135, 667, 161, 333 |
| 3 | 45, 667, 161, 111 |
| 23 | 15, 667, 161, 37 |
| 15, 29, 7, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 23 x 15 x 29 x 7 x 37 = 69964965
Therefore, the lowest common multiple of 405,667,161,999 is 69964965.
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.
405 x 667 x 161 x 999 = 43448243265
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
667 : 1, 23, 29, 667
161 : 1, 7, 23, 161
999 : 1, 3, 9, 27, 37, 111, 333, 999
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,667,161,999, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
667:23x 29
161:7x 23
999:3x 3x 3x 37
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 3x 23 = 621
Therefore, the value for common factors is 621.
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 = 43448243265/(1x621)
LCM = 43448243265/621
LCM = 69964965
Thus, we can understand that the LCM of 405,667,161,999 is 69964965.
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FAQs on LCM of 405, 667, 161, 999
1. What is the LCM of 405, 667, 161, 999?
Answer: LCM of 405, 667, 161, 999 is 69964965.
2. How to calculate the LCM of 405, 667, 161, 999?
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 405, 667, 161, 999.
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}.