LCM of 324, 242, 135, 756, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 324, 242, 135, 756, 131 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 324, 242, 135, 756, 131. So, keep reading to learn more.
Given numbers are 324,242,135,756,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,242,135,756,131 is 179750340.
Find LCM of 324,242,135,756,131 with Prime Factorization
| 2 | 324, 242, 135, 756, 131 |
| 2 | 162, 121, 135, 378, 131 |
| 3 | 81, 121, 135, 189, 131 |
| 3 | 27, 121, 45, 63, 131 |
| 3 | 9, 121, 15, 21, 131 |
| 3, 121, 5, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 121 x 5 x 7 x 131 = 179750340
Therefore, the lowest common multiple of 324,242,135,756,131 is 179750340.
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.
324 x 242 x 135 x 756 x 131 = 1048303982880
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
242 : 1, 2, 11, 22, 121, 242
135 : 1, 3, 5, 9, 15, 27, 45, 135
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,242,135,756,131, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
242:2x 11x 11
135:3x 3x 3x 5
756:2x 2x 3x 3x 3x 7
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 1048303982880/(1x5832)
LCM = 1048303982880/5832
LCM = 179750340
Thus, we can understand that the LCM of 324,242,135,756,131 is 179750340.
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FAQs on LCM of 324, 242, 135, 756, 131
1. What is the LCM of 324, 242, 135, 756, 131?
Answer: LCM of 324, 242, 135, 756, 131 is 179750340.
2. How to calculate the LCM of 324, 242, 135, 756, 131?
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 324, 242, 135, 756, 131.
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}.