LCM of 765, 387, 308, 215, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 387, 308, 215, 926 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, 387, 308, 215, 926. So, keep reading to learn more.
Given numbers are 765,387,308,215,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,387,308,215,926 is 4690958580.
Find LCM of 765,387,308,215,926 with Prime Factorization
| 2 | 765, 387, 308, 215, 926 |
| 3 | 765, 387, 154, 215, 463 |
| 3 | 255, 129, 154, 215, 463 |
| 5 | 85, 43, 154, 215, 463 |
| 43 | 17, 43, 154, 43, 463 |
| 17, 1, 154, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 43 x 17 x 1 x 154 x 1 x 463 = 4690958580
Therefore, the lowest common multiple of 765,387,308,215,926 is 4690958580.
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 387 x 308 x 215 x 926 = 18154009704600
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
387 : 1, 3, 9, 43, 129, 387
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
215 : 1, 5, 43, 215
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,387,308,215,926, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
387:3x 3x 43
308:2x 2x 7x 11
215:5x 43
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 43 = 3870
Therefore, the value for common factors is 3870.
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 = 18154009704600/(1x3870)
LCM = 18154009704600/3870
LCM = 4690958580
Thus, we can understand that the LCM of 765,387,308,215,926 is 4690958580.
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FAQs on LCM of 765, 387, 308, 215, 926
1. What is the LCM of 765, 387, 308, 215, 926?
Answer: LCM of 765, 387, 308, 215, 926 is 4690958580.
2. How to calculate the LCM of 765, 387, 308, 215, 926?
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, 387, 308, 215, 926.
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}.