LCM of 493, 629, 533, 837, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 629, 533, 837, 793 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 493, 629, 533, 837, 793. So, keep reading to learn more.
Given numbers are 493,629,533,837,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,629,533,837,793 is 496399282821.
Find LCM of 493,629,533,837,793 with Prime Factorization
| 13 | 493, 629, 533, 837, 793 |
| 17 | 493, 629, 41, 837, 61 |
| 29, 37, 41, 837, 61 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 29 x 37 x 41 x 837 x 61 = 496399282821
Therefore, the lowest common multiple of 493,629,533,837,793 is 496399282821.
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.
493 x 629 x 533 x 837 x 793 = 109704241503441
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.
493 : 1, 17, 29, 493
629 : 1, 17, 37, 629
533 : 1, 13, 41, 533
837 : 1, 3, 9, 27, 31, 93, 279, 837
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,629,533,837,793, is 1.
Now, the common factors can be found like this.
493:17x 29
629:17x 37
533:13x 41
837:3x 3x 3x 31
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 109704241503441/(1x221)
LCM = 109704241503441/221
LCM = 496399282821
Thus, we can understand that the LCM of 493,629,533,837,793 is 496399282821.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 629, 533, 837, 793
1. What is the LCM of 493, 629, 533, 837, 793?
Answer: LCM of 493, 629, 533, 837, 793 is 496399282821.
2. How to calculate the LCM of 493, 629, 533, 837, 793?
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 493, 629, 533, 837, 793.
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}.