LCM of 800, 324, 514, 415, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 324, 514, 415, 100 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 800, 324, 514, 415, 100. So, keep reading to learn more.
Given numbers are 800,324,514,415,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,324,514,415,100 is 1382248800.
Find LCM of 800,324,514,415,100 with Prime Factorization
| 2 | 800, 324, 514, 415, 100 |
| 2 | 400, 162, 257, 415, 50 |
| 5 | 200, 81, 257, 415, 25 |
| 5 | 40, 81, 257, 83, 5 |
| 8, 81, 257, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 8 x 81 x 257 x 83 x 1 = 1382248800
Therefore, the lowest common multiple of 800,324,514,415,100 is 1382248800.
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.
800 x 324 x 514 x 415 x 100 = 5528995200000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
514 : 1, 2, 257, 514
415 : 1, 5, 83, 415
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,324,514,415,100, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
324:2x 2x 3x 3x 3x 3
514:2x 257
415:5x 83
100:2x 2x 5x 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 5x 5x 5 = 4000
Therefore, the value for common factors is 4000.
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 = 5528995200000/(1x4000)
LCM = 5528995200000/4000
LCM = 1382248800
Thus, we can understand that the LCM of 800,324,514,415,100 is 1382248800.
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FAQs on LCM of 800, 324, 514, 415, 100
1. What is the LCM of 800, 324, 514, 415, 100?
Answer: LCM of 800, 324, 514, 415, 100 is 1382248800.
2. How to calculate the LCM of 800, 324, 514, 415, 100?
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 800, 324, 514, 415, 100.
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}.