LCM of 577, 768, 814, 629, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 768, 814, 629, 705 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, 768, 814, 629, 705. So, keep reading to learn more.
Given numbers are 577,768,814,629,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,768,814,629,705 is 720523626240.
Find LCM of 577,768,814,629,705 with Prime Factorization
| 2 | 577, 768, 814, 629, 705 |
| 3 | 577, 384, 407, 629, 705 |
| 37 | 577, 128, 407, 629, 235 |
| 577, 128, 11, 17, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 577 x 128 x 11 x 17 x 235 = 720523626240
Therefore, the lowest common multiple of 577,768,814,629,705 is 720523626240.
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 768 x 814 x 629 x 705 = 159956245025280
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
814 : 1, 2, 11, 22, 37, 74, 407, 814
629 : 1, 17, 37, 629
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,768,814,629,705, is 1.
Now, the common factors can be found like this.
577:577
768:2x 2x 2x 2x 2x 2x 2x 2x 3
814:2x 11x 37
629:17x 37
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 159956245025280/(1x222)
LCM = 159956245025280/222
LCM = 720523626240
Thus, we can understand that the LCM of 577,768,814,629,705 is 720523626240.
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FAQs on LCM of 577, 768, 814, 629, 705
1. What is the LCM of 577, 768, 814, 629, 705?
Answer: LCM of 577, 768, 814, 629, 705 is 720523626240.
2. How to calculate the LCM of 577, 768, 814, 629, 705?
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, 768, 814, 629, 705.
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}.