LCM of 159, 181, 405, 187, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 181, 405, 187, 110 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 159, 181, 405, 187, 110. So, keep reading to learn more.
Given numbers are 159,181,405,187,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,181,405,187,110 is 1453051710.
Find LCM of 159,181,405,187,110 with Prime Factorization
| 3 | 159, 181, 405, 187, 110 |
| 5 | 53, 181, 135, 187, 110 |
| 11 | 53, 181, 27, 187, 22 |
| 53, 181, 27, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 53 x 181 x 27 x 17 x 2 = 1453051710
Therefore, the lowest common multiple of 159,181,405,187,110 is 1453051710.
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.
159 x 181 x 405 x 187 x 110 = 239753532150
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.
159 : 1, 3, 53, 159
181 : 1, 181
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
187 : 1, 11, 17, 187
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,181,405,187,110, is 1.
Now, the common factors can be found like this.
159:3x 53
181:181
405:3x 3x 3x 3x 5
187:11x 17
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 239753532150/(1x165)
LCM = 239753532150/165
LCM = 1453051710
Thus, we can understand that the LCM of 159,181,405,187,110 is 1453051710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 159, 181, 405, 187, 110
1. What is the LCM of 159, 181, 405, 187, 110?
Answer: LCM of 159, 181, 405, 187, 110 is 1453051710.
2. How to calculate the LCM of 159, 181, 405, 187, 110?
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 159, 181, 405, 187, 110.
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}.