LCM of 198, 195, 522, 612, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 195, 522, 612, 899 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, 195, 522, 612, 899. So, keep reading to learn more.
Given numbers are 198,195,522,612,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,195,522,612,899 is 393384420.
Find LCM of 198,195,522,612,899 with Prime Factorization
| 2 | 198, 195, 522, 612, 899 |
| 3 | 99, 195, 261, 306, 899 |
| 3 | 33, 65, 87, 102, 899 |
| 29 | 11, 65, 29, 34, 899 |
| 11, 65, 1, 34, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 11 x 65 x 1 x 34 x 31 = 393384420
Therefore, the lowest common multiple of 198,195,522,612,899 is 393384420.
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 195 x 522 x 612 x 899 = 11088720030960
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,195,522,612,899, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
195:3x 5x 13
522:2x 3x 3x 29
612:2x 2x 3x 3x 17
899:29x 31
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 3x 3x 3x 29 = 28188
Therefore, the value for common factors is 28188.
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 = 11088720030960/(1x28188)
LCM = 11088720030960/28188
LCM = 393384420
Thus, we can understand that the LCM of 198,195,522,612,899 is 393384420.
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FAQs on LCM of 198, 195, 522, 612, 899
1. What is the LCM of 198, 195, 522, 612, 899?
Answer: LCM of 198, 195, 522, 612, 899 is 393384420.
2. How to calculate the LCM of 198, 195, 522, 612, 899?
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, 195, 522, 612, 899.
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}.