LCM of 216, 622, 737, 385, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 622, 737, 385, 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 216, 622, 737, 385, 198. So, keep reading to learn more.
Given numbers are 216,622,737,385,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,622,737,385,198 is 1732804920.
Find LCM of 216,622,737,385,198 with Prime Factorization
| 2 | 216, 622, 737, 385, 198 |
| 3 | 108, 311, 737, 385, 99 |
| 3 | 36, 311, 737, 385, 33 |
| 11 | 12, 311, 737, 385, 11 |
| 12, 311, 67, 35, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 12 x 311 x 67 x 35 x 1 = 1732804920
Therefore, the lowest common multiple of 216,622,737,385,198 is 1732804920.
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.
216 x 622 x 737 x 385 x 198 = 7548098231520
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
622 : 1, 2, 311, 622
737 : 1, 11, 67, 737
385 : 1, 5, 7, 11, 35, 55, 77, 385
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 216,622,737,385,198, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
622:2x 311
737:11x 67
385:5x 7x 11
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 3x 3x 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 7548098231520/(1x4356)
LCM = 7548098231520/4356
LCM = 1732804920
Thus, we can understand that the LCM of 216,622,737,385,198 is 1732804920.
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FAQs on LCM of 216, 622, 737, 385, 198
1. What is the LCM of 216, 622, 737, 385, 198?
Answer: LCM of 216, 622, 737, 385, 198 is 1732804920.
2. How to calculate the LCM of 216, 622, 737, 385, 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 216, 622, 737, 385, 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}.