LCM of 800, 164, 805, 410, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 164, 805, 410, 413 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, 164, 805, 410, 413. So, keep reading to learn more.
Given numbers are 800,164,805,410,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,164,805,410,413 is 311567200.
Find LCM of 800,164,805,410,413 with Prime Factorization
| 2 | 800, 164, 805, 410, 413 |
| 2 | 400, 82, 805, 205, 413 |
| 5 | 200, 41, 805, 205, 413 |
| 7 | 40, 41, 161, 41, 413 |
| 41 | 40, 41, 23, 41, 59 |
| 40, 1, 23, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 41 x 40 x 1 x 23 x 1 x 59 = 311567200
Therefore, the lowest common multiple of 800,164,805,410,413 is 311567200.
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 164 x 805 x 410 x 413 = 17883957280000
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
164 : 1, 2, 4, 41, 82, 164
805 : 1, 5, 7, 23, 35, 115, 161, 805
410 : 1, 2, 5, 10, 41, 82, 205, 410
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,164,805,410,413, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
164:2x 2x 41
805:5x 7x 23
410:2x 5x 41
413:7x 59
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 5x 5x 7x 41 = 57400
Therefore, the value for common factors is 57400.
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 = 17883957280000/(1x57400)
LCM = 17883957280000/57400
LCM = 311567200
Thus, we can understand that the LCM of 800,164,805,410,413 is 311567200.
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FAQs on LCM of 800, 164, 805, 410, 413
1. What is the LCM of 800, 164, 805, 410, 413?
Answer: LCM of 800, 164, 805, 410, 413 is 311567200.
2. How to calculate the LCM of 800, 164, 805, 410, 413?
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, 164, 805, 410, 413.
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}.