LCM of 189, 622, 363, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 622, 363, 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 189, 622, 363, 131. So, keep reading to learn more.
Given numbers are 189,622,363,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,622,363,131 is 1863411858.
Find LCM of 189,622,363,131 with Prime Factorization
| 3 | 189, 622, 363, 131 |
| 63, 622, 121, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 63 x 622 x 121 x 131 = 1863411858
Therefore, the lowest common multiple of 189,622,363,131 is 1863411858.
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.
189 x 622 x 363 x 131 = 5590235574
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
622 : 1, 2, 311, 622
363 : 1, 3, 11, 33, 121, 363
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,622,363,131, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
622:2x 311
363:3x 11x 11
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 5590235574/(1x3)
LCM = 5590235574/3
LCM = 1863411858
Thus, we can understand that the LCM of 189,622,363,131 is 1863411858.
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FAQs on LCM of 189, 622, 363, 131
1. What is the LCM of 189, 622, 363, 131?
Answer: LCM of 189, 622, 363, 131 is 1863411858.
2. How to calculate the LCM of 189, 622, 363, 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 189, 622, 363, 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}.