LCM of 565, 812, 504, 457, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 812, 504, 457, 914 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 565, 812, 504, 457, 914. So, keep reading to learn more.
Given numbers are 565,812,504,457,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,812,504,457,914 is 3773924280.
Find LCM of 565,812,504,457,914 with Prime Factorization
| 2 | 565, 812, 504, 457, 914 |
| 2 | 565, 406, 252, 457, 457 |
| 7 | 565, 203, 126, 457, 457 |
| 457 | 565, 29, 18, 457, 457 |
| 565, 29, 18, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 457 x 565 x 29 x 18 x 1 x 1 = 3773924280
Therefore, the lowest common multiple of 565,812,504,457,914 is 3773924280.
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.
565 x 812 x 504 x 457 x 914 = 96582270173760
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.
565 : 1, 5, 113, 565
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
457 : 1, 457
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,812,504,457,914, is 1.
Now, the common factors can be found like this.
565:5x 113
812:2x 2x 7x 29
504:2x 2x 2x 3x 3x 7
457:457
914:2x 457
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 7x 457 = 25592
Therefore, the value for common factors is 25592.
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 = 96582270173760/(1x25592)
LCM = 96582270173760/25592
LCM = 3773924280
Thus, we can understand that the LCM of 565,812,504,457,914 is 3773924280.
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FAQs on LCM of 565, 812, 504, 457, 914
1. What is the LCM of 565, 812, 504, 457, 914?
Answer: LCM of 565, 812, 504, 457, 914 is 3773924280.
2. How to calculate the LCM of 565, 812, 504, 457, 914?
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 565, 812, 504, 457, 914.
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}.