LCM of 909, 417, 969, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 417, 969, 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 909, 417, 969, 198. So, keep reading to learn more.
Given numbers are 909,417,969,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,417,969,198 is 897850206.
Find LCM of 909,417,969,198 with Prime Factorization
| 3 | 909, 417, 969, 198 |
| 3 | 303, 139, 323, 66 |
| 101, 139, 323, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 101 x 139 x 323 x 22 = 897850206
Therefore, the lowest common multiple of 909,417,969,198 is 897850206.
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.
909 x 417 x 969 x 198 = 72725866686
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.
909 : 1, 3, 9, 101, 303, 909
417 : 1, 3, 139, 417
969 : 1, 3, 17, 19, 51, 57, 323, 969
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,417,969,198, is 3.
Now, the common factors can be found like this.
909:3x 3x 101
417:3x 139
969:3x 17x 19
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.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 72725866686/(3x27)
LCM = 72725866686/81
LCM = 897850206
Thus, we can understand that the LCM of 909,417,969,198 is 897850206.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 417, 969, 198
1. What is the LCM of 909, 417, 969, 198?
Answer: LCM of 909, 417, 969, 198 is 897850206.
2. How to calculate the LCM of 909, 417, 969, 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 909, 417, 969, 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}.