LCM of 720, 596, 800, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 596, 800, 405 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 720, 596, 800, 405. So, keep reading to learn more.
Given numbers are 720,596,800,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,596,800,405 is 9655200.
Find LCM of 720,596,800,405 with Prime Factorization
| 2 | 720, 596, 800, 405 |
| 2 | 360, 298, 400, 405 |
| 2 | 180, 149, 200, 405 |
| 2 | 90, 149, 100, 405 |
| 3 | 45, 149, 50, 405 |
| 3 | 15, 149, 50, 135 |
| 5 | 5, 149, 50, 45 |
| 1, 149, 10, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 149 x 10 x 9 = 9655200
Therefore, the lowest common multiple of 720,596,800,405 is 9655200.
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.
720 x 596 x 800 x 405 = 139034880000
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.
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
596 : 1, 2, 4, 149, 298, 596
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,596,800,405, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
596:2x 2x 149
800:2x 2x 2x 2x 2x 5x 5
405:3x 3x 3x 3x 5
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 2x 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 139034880000/(1x14400)
LCM = 139034880000/14400
LCM = 9655200
Thus, we can understand that the LCM of 720,596,800,405 is 9655200.
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FAQs on LCM of 720, 596, 800, 405
1. What is the LCM of 720, 596, 800, 405?
Answer: LCM of 720, 596, 800, 405 is 9655200.
2. How to calculate the LCM of 720, 596, 800, 405?
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 720, 596, 800, 405.
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}.