Find the LCM of 137, 216, 729, 243, 961 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, 216, 729, 243, 961. So, keep reading to learn more.
Given numbers are 137,216,729,243,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,216,729,243,961 is 767823624.
Find LCM of 137,216,729,243,961 with Prime Factorization
3 | 137, 216, 729, 243, 961 |
3 | 137, 72, 243, 81, 961 |
3 | 137, 24, 27, 81, 961 |
3 | 137, 8, 9, 27, 961 |
3 | 137, 8, 3, 9, 961 |
137, 8, 1, 3, 961 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 3 x 137 x 8 x 1 x 3 x 961 = 767823624
Therefore, the lowest common multiple of 137,216,729,243,961 is 767823624.
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 216 x 729 x 243 x 961 = 5037690797064
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
729 : 1, 3, 9, 27, 81, 243, 729
243 : 1, 3, 9, 27, 81, 243
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,216,729,243,961, is 1.
Now, the common factors can be found like this.
137:137
216:2x 2x 2x 3x 3x 3
729:3x 3x 3x 3x 3x 3
243:3x 3x 3x 3x 3
961:31x 31
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 3x 3 = 6561
Therefore, the value for common factors is 6561.
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 = 5037690797064/(1x6561)
LCM = 5037690797064/6561
LCM = 767823624
Thus, we can understand that the LCM of 137,216,729,243,961 is 767823624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 137, 216, 729, 243, 961?
Answer: LCM of 137, 216, 729, 243, 961 is 767823624.
2. How to calculate the LCM of 137, 216, 729, 243, 961?
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, 216, 729, 243, 961.
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}.