LCM of 592, 768, 566, 899, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 768, 566, 899, 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 592, 768, 566, 899, 493. So, keep reading to learn more.
Given numbers are 592,768,566,899,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,768,566,899,493 is 122901729024.
Find LCM of 592,768,566,899,493 with Prime Factorization
| 2 | 592, 768, 566, 899, 493 |
| 2 | 296, 384, 283, 899, 493 |
| 2 | 148, 192, 283, 899, 493 |
| 2 | 74, 96, 283, 899, 493 |
| 29 | 37, 48, 283, 899, 493 |
| 37, 48, 283, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 37 x 48 x 283 x 31 x 17 = 122901729024
Therefore, the lowest common multiple of 592,768,566,899,493 is 122901729024.
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.
592 x 768 x 566 x 899 x 493 = 114052804534272
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
566 : 1, 2, 283, 566
899 : 1, 29, 31, 899
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,768,566,899,493, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
768:2x 2x 2x 2x 2x 2x 2x 2x 3
566:2x 283
899:29x 31
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.
2x 2x 2x 2x 2x 29 = 928
Therefore, the value for common factors is 928.
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 = 114052804534272/(1x928)
LCM = 114052804534272/928
LCM = 122901729024
Thus, we can understand that the LCM of 592,768,566,899,493 is 122901729024.
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FAQs on LCM of 592, 768, 566, 899, 493
1. What is the LCM of 592, 768, 566, 899, 493?
Answer: LCM of 592, 768, 566, 899, 493 is 122901729024.
2. How to calculate the LCM of 592, 768, 566, 899, 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 592, 768, 566, 899, 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}.