LCM of 789, 720, 405, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 720, 405, 392 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 789, 720, 405, 392. So, keep reading to learn more.
Given numbers are 789,720,405,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,720,405,392 is 83507760.
Find LCM of 789,720,405,392 with Prime Factorization
| 2 | 789, 720, 405, 392 |
| 2 | 789, 360, 405, 196 |
| 2 | 789, 180, 405, 98 |
| 3 | 789, 90, 405, 49 |
| 3 | 263, 30, 135, 49 |
| 5 | 263, 10, 45, 49 |
| 263, 2, 9, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 263 x 2 x 9 x 49 = 83507760
Therefore, the lowest common multiple of 789,720,405,392 is 83507760.
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.
789 x 720 x 405 x 392 = 90188380800
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.
789 : 1, 3, 263, 789
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,720,405,392, is 1.
Now, the common factors can be found like this.
789:3x 263
720:2x 2x 2x 2x 3x 3x 5
405:3x 3x 3x 3x 5
392:2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 90188380800/(1x1080)
LCM = 90188380800/1080
LCM = 83507760
Thus, we can understand that the LCM of 789,720,405,392 is 83507760.
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FAQs on LCM of 789, 720, 405, 392
1. What is the LCM of 789, 720, 405, 392?
Answer: LCM of 789, 720, 405, 392 is 83507760.
2. How to calculate the LCM of 789, 720, 405, 392?
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 789, 720, 405, 392.
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}.