LCM of 914, 700, 864, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 700, 864, 504 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 914, 700, 864, 504. So, keep reading to learn more.
Given numbers are 914,700,864,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,700,864,504 is 69098400.
Find LCM of 914,700,864,504 with Prime Factorization
| 2 | 914, 700, 864, 504 |
| 2 | 457, 350, 432, 252 |
| 2 | 457, 175, 216, 126 |
| 3 | 457, 175, 108, 63 |
| 3 | 457, 175, 36, 21 |
| 7 | 457, 175, 12, 7 |
| 457, 25, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 457 x 25 x 12 x 1 = 69098400
Therefore, the lowest common multiple of 914,700,864,504 is 69098400.
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.
914 x 700 x 864 x 504 = 278604748800
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.
914 : 1, 2, 457, 914
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,700,864,504, is 2.
Now, the common factors can be found like this.
914:2x 457
700:2x 2x 5x 5x 7
864:2x 2x 2x 2x 2x 3x 3x 3
504:2x 2x 2x 3x 3x 7
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 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 278604748800/(2x2016)
LCM = 278604748800/4032
LCM = 69098400
Thus, we can understand that the LCM of 914,700,864,504 is 69098400.
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FAQs on LCM of 914, 700, 864, 504
1. What is the LCM of 914, 700, 864, 504?
Answer: LCM of 914, 700, 864, 504 is 69098400.
2. How to calculate the LCM of 914, 700, 864, 504?
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 914, 700, 864, 504.
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}.