LCM of 394, 464, 136, 810, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 464, 136, 810, 452 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 394, 464, 136, 810, 452. So, keep reading to learn more.
Given numbers are 394,464,136,810,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,464,136,810,452 is 71115881040.
Find LCM of 394,464,136,810,452 with Prime Factorization
| 2 | 394, 464, 136, 810, 452 |
| 2 | 197, 232, 68, 405, 226 |
| 2 | 197, 116, 34, 405, 113 |
| 197, 58, 17, 405, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 197 x 58 x 17 x 405 x 113 = 71115881040
Therefore, the lowest common multiple of 394,464,136,810,452 is 71115881040.
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.
394 x 464 x 136 x 810 x 452 = 9102832773120
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.
394 : 1, 2, 197, 394
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
136 : 1, 2, 4, 8, 17, 34, 68, 136
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
452 : 1, 2, 4, 113, 226, 452
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,464,136,810,452, is 2.
Now, the common factors can be found like this.
394:2x 197
464:2x 2x 2x 2x 29
136:2x 2x 2x 17
810:2x 3x 3x 3x 3x 5
452:2x 2x 113
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 2 = 64
Therefore, the value for common factors is 64.
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 = 9102832773120/(2x64)
LCM = 9102832773120/128
LCM = 71115881040
Thus, we can understand that the LCM of 394,464,136,810,452 is 71115881040.
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FAQs on LCM of 394, 464, 136, 810, 452
1. What is the LCM of 394, 464, 136, 810, 452?
Answer: LCM of 394, 464, 136, 810, 452 is 71115881040.
2. How to calculate the LCM of 394, 464, 136, 810, 452?
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 394, 464, 136, 810, 452.
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}.