LCM of 229, 687, 187, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 687, 187, 165 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 229, 687, 187, 165. So, keep reading to learn more.
Given numbers are 229,687,187,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,687,187,165 is 642345.
Find LCM of 229,687,187,165 with Prime Factorization
| 3 | 229, 687, 187, 165 |
| 11 | 229, 229, 187, 55 |
| 229 | 229, 229, 17, 5 |
| 1, 1, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 229 x 1 x 1 x 17 x 5 = 642345
Therefore, the lowest common multiple of 229,687,187,165 is 642345.
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.
229 x 687 x 187 x 165 = 4854201165
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.
229 : 1, 229
687 : 1, 3, 229, 687
187 : 1, 11, 17, 187
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,687,187,165, is 1.
Now, the common factors can be found like this.
229:229
687:3x 229
187:11x 17
165:3x 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 11x 229 = 7557
Therefore, the value for common factors is 7557.
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 = 4854201165/(1x7557)
LCM = 4854201165/7557
LCM = 642345
Thus, we can understand that the LCM of 229,687,187,165 is 642345.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 687, 187, 165
1. What is the LCM of 229, 687, 187, 165?
Answer: LCM of 229, 687, 187, 165 is 642345.
2. How to calculate the LCM of 229, 687, 187, 165?
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 229, 687, 187, 165.
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}.