LCM of 222, 522, 339, 243, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 522, 339, 243, 969 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 222, 522, 339, 243, 969. So, keep reading to learn more.
Given numbers are 222,522,339,243,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,522,339,243,969 is 19033425522.
Find LCM of 222,522,339,243,969 with Prime Factorization
| 2 | 222, 522, 339, 243, 969 |
| 3 | 111, 261, 339, 243, 969 |
| 3 | 37, 87, 113, 81, 323 |
| 37, 29, 113, 27, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 29 x 113 x 27 x 323 = 19033425522
Therefore, the lowest common multiple of 222,522,339,243,969 is 19033425522.
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.
222 x 522 x 339 x 243 x 969 = 9250244803692
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
339 : 1, 3, 113, 339
243 : 1, 3, 9, 27, 81, 243
969 : 1, 3, 17, 19, 51, 57, 323, 969
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,522,339,243,969, is 3.
Now, the common factors can be found like this.
222:2x 3x 37
522:2x 3x 3x 29
339:3x 113
243:3x 3x 3x 3x 3
969:3x 17x 19
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 3 = 162
Therefore, the value for common factors is 162.
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 = 9250244803692/(3x162)
LCM = 9250244803692/486
LCM = 19033425522
Thus, we can understand that the LCM of 222,522,339,243,969 is 19033425522.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 522, 339, 243, 969
1. What is the LCM of 222, 522, 339, 243, 969?
Answer: LCM of 222, 522, 339, 243, 969 is 19033425522.
2. How to calculate the LCM of 222, 522, 339, 243, 969?
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 222, 522, 339, 243, 969.
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}.