LCM of 814, 815, 535, 489, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 815, 535, 489, 963 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 814, 815, 535, 489, 963. So, keep reading to learn more.
Given numbers are 814,815,535,489,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,815,535,489,963 is 638863830.
Find LCM of 814,815,535,489,963 with Prime Factorization
| 3 | 814, 815, 535, 489, 963 |
| 5 | 814, 815, 535, 163, 321 |
| 107 | 814, 163, 107, 163, 321 |
| 163 | 814, 163, 1, 163, 3 |
| 814, 1, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 107 x 163 x 814 x 1 x 1 x 1 x 3 = 638863830
Therefore, the lowest common multiple of 814,815,535,489,963 is 638863830.
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.
814 x 815 x 535 x 489 x 963 = 167136360885450
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
815 : 1, 5, 163, 815
535 : 1, 5, 107, 535
489 : 1, 3, 163, 489
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,815,535,489,963, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
815:5x 163
535:5x 107
489:3x 163
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 107x 163 = 261615
Therefore, the value for common factors is 261615.
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 = 167136360885450/(1x261615)
LCM = 167136360885450/261615
LCM = 638863830
Thus, we can understand that the LCM of 814,815,535,489,963 is 638863830.
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FAQs on LCM of 814, 815, 535, 489, 963
1. What is the LCM of 814, 815, 535, 489, 963?
Answer: LCM of 814, 815, 535, 489, 963 is 638863830.
2. How to calculate the LCM of 814, 815, 535, 489, 963?
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 814, 815, 535, 489, 963.
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}.