LCM of 137, 414, 729, 999
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 414, 729, 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 137, 414, 729, 999. So, keep reading to learn more.
Given numbers are 137,414,729,999
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,414,729,999 is 169983846.
Find LCM of 137,414,729,999 with Prime Factorization
| 3 | 137, 414, 729, 999 |
| 3 | 137, 138, 243, 333 |
| 3 | 137, 46, 81, 111 |
| 137, 46, 27, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 137 x 46 x 27 x 37 = 169983846
Therefore, the lowest common multiple of 137,414,729,999 is 169983846.
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.
137 x 414 x 729 x 999 = 41306074578
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.
137 : 1, 137
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
729 : 1, 3, 9, 27, 81, 243, 729
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 137,414,729,999, is 1.
Now, the common factors can be found like this.
137:137
414:2x 3x 3x 23
729:3x 3x 3x 3x 3x 3
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 3 = 243
Therefore, the value for common factors is 243.
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 = 41306074578/(1x243)
LCM = 41306074578/243
LCM = 169983846
Thus, we can understand that the LCM of 137,414,729,999 is 169983846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 137, 414, 729, 999
1. What is the LCM of 137, 414, 729, 999?
Answer: LCM of 137, 414, 729, 999 is 169983846.
2. How to calculate the LCM of 137, 414, 729, 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 137, 414, 729, 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}.