LCM of 765, 214, 405, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 214, 405, 229 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 765, 214, 405, 229. So, keep reading to learn more.
Given numbers are 765,214,405,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,214,405,229 is 337406310.
Find LCM of 765,214,405,229 with Prime Factorization
| 3 | 765, 214, 405, 229 |
| 3 | 255, 214, 135, 229 |
| 5 | 85, 214, 45, 229 |
| 17, 214, 9, 229 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 214 x 9 x 229 = 337406310
Therefore, the lowest common multiple of 765,214,405,229 is 337406310.
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.
765 x 214 x 405 x 229 = 15183283950
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
214 : 1, 2, 107, 214
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,214,405,229, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
214:2x 107
405:3x 3x 3x 3x 5
229:229
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 5 = 45
Therefore, the value for common factors is 45.
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 = 15183283950/(1x45)
LCM = 15183283950/45
LCM = 337406310
Thus, we can understand that the LCM of 765,214,405,229 is 337406310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 765, 214, 405, 229
1. What is the LCM of 765, 214, 405, 229?
Answer: LCM of 765, 214, 405, 229 is 337406310.
2. How to calculate the LCM of 765, 214, 405, 229?
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 765, 214, 405, 229.
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}.