LCM of 633, 405, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 405, 493 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 633, 405, 493. So, keep reading to learn more.
Given numbers are 633,405,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,405,493 is 42129315.
Find LCM of 633,405,493 with Prime Factorization
| 3 | 633, 405, 493 |
| 211, 135, 493 |
Multiply the prime numbers at the bottom and the left side.
3 x 211 x 135 x 493 = 42129315
Therefore, the lowest common multiple of 633,405,493 is 42129315.
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.
633 x 405 x 493 = 126387945
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.
633 : 1, 3, 211, 633
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,405,493, is 1.
Now, the common factors can be found like this.
633:3x 211
405:3x 3x 3x 3x 5
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 126387945/(1x3)
LCM = 126387945/3
LCM = 42129315
Thus, we can understand that the LCM of 633,405,493 is 42129315.
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FAQs on LCM of 633, 405, 493
1. What is the LCM of 633, 405, 493?
Answer: LCM of 633, 405, 493 is 42129315.
2. How to calculate the LCM of 633, 405, 493?
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 633, 405, 493.
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}.