LCM of 198, 517, 441, 921, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 517, 441, 921, 614 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 198, 517, 441, 921, 614. So, keep reading to learn more.
Given numbers are 198,517,441,921,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,517,441,921,614 is 139990158.
Find LCM of 198,517,441,921,614 with Prime Factorization
| 2 | 198, 517, 441, 921, 614 |
| 3 | 99, 517, 441, 921, 307 |
| 3 | 33, 517, 147, 307, 307 |
| 11 | 11, 517, 49, 307, 307 |
| 307 | 1, 47, 49, 307, 307 |
| 1, 47, 49, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 307 x 1 x 47 x 49 x 1 x 1 = 139990158
Therefore, the lowest common multiple of 198,517,441,921,614 is 139990158.
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.
198 x 517 x 441 x 921 x 614 = 25528325232564
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
517 : 1, 11, 47, 517
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
921 : 1, 3, 307, 921
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,517,441,921,614, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
517:11x 47
441:3x 3x 7x 7
921:3x 307
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 307 = 182358
Therefore, the value for common factors is 182358.
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 = 25528325232564/(1x182358)
LCM = 25528325232564/182358
LCM = 139990158
Thus, we can understand that the LCM of 198,517,441,921,614 is 139990158.
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FAQs on LCM of 198, 517, 441, 921, 614
1. What is the LCM of 198, 517, 441, 921, 614?
Answer: LCM of 198, 517, 441, 921, 614 is 139990158.
2. How to calculate the LCM of 198, 517, 441, 921, 614?
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 198, 517, 441, 921, 614.
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}.