LCM of 593, 922, 459, 285, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 922, 459, 285, 144 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 593, 922, 459, 285, 144. So, keep reading to learn more.
Given numbers are 593,922,459,285,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,922,459,285,144 is 190726874640.
Find LCM of 593,922,459,285,144 with Prime Factorization
| 2 | 593, 922, 459, 285, 144 |
| 3 | 593, 461, 459, 285, 72 |
| 3 | 593, 461, 153, 95, 24 |
| 593, 461, 51, 95, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 593 x 461 x 51 x 95 x 8 = 190726874640
Therefore, the lowest common multiple of 593,922,459,285,144 is 190726874640.
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.
593 x 922 x 459 x 285 x 144 = 10299251230560
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.
593 : 1, 593
922 : 1, 2, 461, 922
459 : 1, 3, 9, 17, 27, 51, 153, 459
285 : 1, 3, 5, 15, 19, 57, 95, 285
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,922,459,285,144, is 1.
Now, the common factors can be found like this.
593:593
922:2x 461
459:3x 3x 3x 17
285:3x 5x 19
144:2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 10299251230560/(1x54)
LCM = 10299251230560/54
LCM = 190726874640
Thus, we can understand that the LCM of 593,922,459,285,144 is 190726874640.
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FAQs on LCM of 593, 922, 459, 285, 144
1. What is the LCM of 593, 922, 459, 285, 144?
Answer: LCM of 593, 922, 459, 285, 144 is 190726874640.
2. How to calculate the LCM of 593, 922, 459, 285, 144?
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 593, 922, 459, 285, 144.
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}.