LCM of 428, 814, 786, 729, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 814, 786, 729, 198 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 428, 814, 786, 729, 198. So, keep reading to learn more.
Given numbers are 428,814,786,729,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,814,786,729,198 is 16635543804.
Find LCM of 428,814,786,729,198 with Prime Factorization
| 2 | 428, 814, 786, 729, 198 |
| 3 | 214, 407, 393, 729, 99 |
| 3 | 214, 407, 131, 243, 33 |
| 11 | 214, 407, 131, 81, 11 |
| 214, 37, 131, 81, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 214 x 37 x 131 x 81 x 1 = 16635543804
Therefore, the lowest common multiple of 428,814,786,729,198 is 16635543804.
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.
428 x 814 x 786 x 729 x 198 = 39526052078304
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.
428 : 1, 2, 4, 107, 214, 428
814 : 1, 2, 11, 22, 37, 74, 407, 814
786 : 1, 2, 3, 6, 131, 262, 393, 786
729 : 1, 3, 9, 27, 81, 243, 729
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,814,786,729,198, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
814:2x 11x 37
786:2x 3x 131
729:3x 3x 3x 3x 3x 3
198:2x 3x 3x 11
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 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 39526052078304/(1x2376)
LCM = 39526052078304/2376
LCM = 16635543804
Thus, we can understand that the LCM of 428,814,786,729,198 is 16635543804.
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FAQs on LCM of 428, 814, 786, 729, 198
1. What is the LCM of 428, 814, 786, 729, 198?
Answer: LCM of 428, 814, 786, 729, 198 is 16635543804.
2. How to calculate the LCM of 428, 814, 786, 729, 198?
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 428, 814, 786, 729, 198.
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}.