LCM of 803, 689, 405, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 689, 405, 765 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 803, 689, 405, 765. So, keep reading to learn more.
Given numbers are 803,689,405,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,689,405,765 is 3809243295.
Find LCM of 803,689,405,765 with Prime Factorization
| 3 | 803, 689, 405, 765 |
| 3 | 803, 689, 135, 255 |
| 5 | 803, 689, 45, 85 |
| 803, 689, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 803 x 689 x 9 x 17 = 3809243295
Therefore, the lowest common multiple of 803,689,405,765 is 3809243295.
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.
803 x 689 x 405 x 765 = 171415948275
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.
803 : 1, 11, 73, 803
689 : 1, 13, 53, 689
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,689,405,765, is 1.
Now, the common factors can be found like this.
803:11x 73
689:13x 53
405:3x 3x 3x 3x 5
765:3x 3x 5x 17
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 = 171415948275/(1x45)
LCM = 171415948275/45
LCM = 3809243295
Thus, we can understand that the LCM of 803,689,405,765 is 3809243295.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 689, 405, 765
1. What is the LCM of 803, 689, 405, 765?
Answer: LCM of 803, 689, 405, 765 is 3809243295.
2. How to calculate the LCM of 803, 689, 405, 765?
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 803, 689, 405, 765.
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}.