LCM of 814, 377, 522, 102, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 377, 522, 102, 798 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, 377, 522, 102, 798. So, keep reading to learn more.
Given numbers are 814,377,522,102,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,377,522,102,798 is 6244660422.
Find LCM of 814,377,522,102,798 with Prime Factorization
| 2 | 814, 377, 522, 102, 798 |
| 3 | 407, 377, 261, 51, 399 |
| 29 | 407, 377, 87, 17, 133 |
| 407, 13, 3, 17, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 407 x 13 x 3 x 17 x 133 = 6244660422
Therefore, the lowest common multiple of 814,377,522,102,798 is 6244660422.
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 377 x 522 x 102 x 798 = 13038850961136
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
377 : 1, 13, 29, 377
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
102 : 1, 2, 3, 6, 17, 34, 51, 102
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,377,522,102,798, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
377:13x 29
522:2x 3x 3x 29
102:2x 3x 17
798:2x 3x 7x 19
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 3x 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 13038850961136/(1x2088)
LCM = 13038850961136/2088
LCM = 6244660422
Thus, we can understand that the LCM of 814,377,522,102,798 is 6244660422.
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FAQs on LCM of 814, 377, 522, 102, 798
1. What is the LCM of 814, 377, 522, 102, 798?
Answer: LCM of 814, 377, 522, 102, 798 is 6244660422.
2. How to calculate the LCM of 814, 377, 522, 102, 798?
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, 377, 522, 102, 798.
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}.