LCM of 999, 189, 414, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 999, 189, 414, 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 999, 189, 414, 999. So, keep reading to learn more.
Given numbers are 999,189,414,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,189,414,999 is 321678.
Find LCM of 999,189,414,999 with Prime Factorization
| 3 | 999, 189, 414, 999 |
| 3 | 333, 63, 138, 333 |
| 3 | 111, 21, 46, 111 |
| 37 | 37, 7, 46, 37 |
| 1, 7, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 37 x 1 x 7 x 46 x 1 = 321678
Therefore, the lowest common multiple of 999,189,414,999 is 321678.
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.
999 x 189 x 414 x 999 = 78089586246
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
189 : 1, 3, 7, 9, 21, 27, 63, 189
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
999 : 1, 3, 9, 27, 37, 111, 333, 999
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,189,414,999, is 9.
Now, the common factors can be found like this.
999:3x 3x 3x 37
189:3x 3x 3x 7
414:2x 3x 3x 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 3x 3x 3x 37 = 26973
Therefore, the value for common factors is 26973.
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 = 78089586246/(9x26973)
LCM = 78089586246/242757
LCM = 321678
Thus, we can understand that the LCM of 999,189,414,999 is 321678.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 999, 189, 414, 999
1. What is the LCM of 999, 189, 414, 999?
Answer: LCM of 999, 189, 414, 999 is 321678.
2. How to calculate the LCM of 999, 189, 414, 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 999, 189, 414, 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}.