LCM of 363, 726, 296, 240, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 726, 296, 240, 593 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 363, 726, 296, 240, 593. So, keep reading to learn more.
Given numbers are 363,726,296,240,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,726,296,240,593 is 637166640.
Find LCM of 363,726,296,240,593 with Prime Factorization
| 2 | 363, 726, 296, 240, 593 |
| 2 | 363, 363, 148, 120, 593 |
| 2 | 363, 363, 74, 60, 593 |
| 3 | 363, 363, 37, 30, 593 |
| 11 | 121, 121, 37, 10, 593 |
| 11 | 11, 11, 37, 10, 593 |
| 1, 1, 37, 10, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 11 x 1 x 1 x 37 x 10 x 593 = 637166640
Therefore, the lowest common multiple of 363,726,296,240,593 is 637166640.
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.
363 x 726 x 296 x 240 x 593 = 11101991535360
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.
363 : 1, 3, 11, 33, 121, 363
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
296 : 1, 2, 4, 8, 37, 74, 148, 296
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,726,296,240,593, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
726:2x 3x 11x 11
296:2x 2x 2x 37
240:2x 2x 2x 2x 3x 5
593:593
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 3x 3x 11x 11 = 17424
Therefore, the value for common factors is 17424.
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 = 11101991535360/(1x17424)
LCM = 11101991535360/17424
LCM = 637166640
Thus, we can understand that the LCM of 363,726,296,240,593 is 637166640.
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FAQs on LCM of 363, 726, 296, 240, 593
1. What is the LCM of 363, 726, 296, 240, 593?
Answer: LCM of 363, 726, 296, 240, 593 is 637166640.
2. How to calculate the LCM of 363, 726, 296, 240, 593?
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 363, 726, 296, 240, 593.
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}.