LCM of 577, 648, 488, 768, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 648, 488, 768, 923 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 577, 648, 488, 768, 923. So, keep reading to learn more.
Given numbers are 577,648,488,768,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,648,488,768,923 is 673646927616.
Find LCM of 577,648,488,768,923 with Prime Factorization
| 2 | 577, 648, 488, 768, 923 |
| 2 | 577, 324, 244, 384, 923 |
| 2 | 577, 162, 122, 192, 923 |
| 3 | 577, 81, 61, 96, 923 |
| 577, 27, 61, 32, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 577 x 27 x 61 x 32 x 923 = 673646927616
Therefore, the lowest common multiple of 577,648,488,768,923 is 673646927616.
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.
577 x 648 x 488 x 768 x 923 = 129340210102272
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.
577 : 1, 577
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
488 : 1, 2, 4, 8, 61, 122, 244, 488
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,648,488,768,923, is 1.
Now, the common factors can be found like this.
577:577
648:2x 2x 2x 3x 3x 3x 3
488:2x 2x 2x 61
768:2x 2x 2x 2x 2x 2x 2x 2x 3
923:13x 71
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 129340210102272/(1x192)
LCM = 129340210102272/192
LCM = 673646927616
Thus, we can understand that the LCM of 577,648,488,768,923 is 673646927616.
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FAQs on LCM of 577, 648, 488, 768, 923
1. What is the LCM of 577, 648, 488, 768, 923?
Answer: LCM of 577, 648, 488, 768, 923 is 673646927616.
2. How to calculate the LCM of 577, 648, 488, 768, 923?
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 577, 648, 488, 768, 923.
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}.