LCM of 925, 772, 800, 624, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 772, 800, 624, 814 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 925, 772, 800, 624, 814. So, keep reading to learn more.
Given numbers are 925,772,800,624,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,772,800,624,814 is 2450791200.
Find LCM of 925,772,800,624,814 with Prime Factorization
| 2 | 925, 772, 800, 624, 814 |
| 2 | 925, 386, 400, 312, 407 |
| 2 | 925, 193, 200, 156, 407 |
| 2 | 925, 193, 100, 78, 407 |
| 5 | 925, 193, 50, 39, 407 |
| 5 | 185, 193, 10, 39, 407 |
| 37 | 37, 193, 2, 39, 407 |
| 1, 193, 2, 39, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 37 x 1 x 193 x 2 x 39 x 11 = 2450791200
Therefore, the lowest common multiple of 925,772,800,624,814 is 2450791200.
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.
925 x 772 x 800 x 624 x 814 = 290173678080000
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.
925 : 1, 5, 25, 37, 185, 925
772 : 1, 2, 4, 193, 386, 772
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,772,800,624,814, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
772:2x 2x 193
800:2x 2x 2x 2x 2x 5x 5
624:2x 2x 2x 2x 3x 13
814:2x 11x 37
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 2x 5x 5x 37 = 118400
Therefore, the value for common factors is 118400.
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 = 290173678080000/(1x118400)
LCM = 290173678080000/118400
LCM = 2450791200
Thus, we can understand that the LCM of 925,772,800,624,814 is 2450791200.
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FAQs on LCM of 925, 772, 800, 624, 814
1. What is the LCM of 925, 772, 800, 624, 814?
Answer: LCM of 925, 772, 800, 624, 814 is 2450791200.
2. How to calculate the LCM of 925, 772, 800, 624, 814?
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 925, 772, 800, 624, 814.
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}.