LCM of 413, 997, 924, 814, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 413, 997, 924, 814, 400 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 413, 997, 924, 814, 400. So, keep reading to learn more.
Given numbers are 413,997,924,814,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,997,924,814,400 is 201104072400.
Find LCM of 413,997,924,814,400 with Prime Factorization
| 2 | 413, 997, 924, 814, 400 |
| 2 | 413, 997, 462, 407, 200 |
| 7 | 413, 997, 231, 407, 100 |
| 11 | 59, 997, 33, 407, 100 |
| 59, 997, 3, 37, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 59 x 997 x 3 x 37 x 100 = 201104072400
Therefore, the lowest common multiple of 413,997,924,814,400 is 201104072400.
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.
413 x 997 x 924 x 814 x 400 = 123880108598400
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.
413 : 1, 7, 59, 413
997 : 1, 997
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
814 : 1, 2, 11, 22, 37, 74, 407, 814
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,997,924,814,400, is 1.
Now, the common factors can be found like this.
413:7x 59
997:997
924:2x 2x 3x 7x 11
814:2x 11x 37
400:2x 2x 2x 2x 5x 5
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 11 = 616
Therefore, the value for common factors is 616.
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 = 123880108598400/(1x616)
LCM = 123880108598400/616
LCM = 201104072400
Thus, we can understand that the LCM of 413,997,924,814,400 is 201104072400.
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FAQs on LCM of 413, 997, 924, 814, 400
1. What is the LCM of 413, 997, 924, 814, 400?
Answer: LCM of 413, 997, 924, 814, 400 is 201104072400.
2. How to calculate the LCM of 413, 997, 924, 814, 400?
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 413, 997, 924, 814, 400.
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}.