LCM of 162, 339, 918, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 339, 918, 990 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 162, 339, 918, 990. So, keep reading to learn more.
Given numbers are 162,339,918,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,339,918,990 is 17116110.
Find LCM of 162,339,918,990 with Prime Factorization
| 2 | 162, 339, 918, 990 |
| 3 | 81, 339, 459, 495 |
| 3 | 27, 113, 153, 165 |
| 3 | 9, 113, 51, 55 |
| 3, 113, 17, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 113 x 17 x 55 = 17116110
Therefore, the lowest common multiple of 162,339,918,990 is 17116110.
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.
162 x 339 x 918 x 990 = 49910576760
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
339 : 1, 3, 113, 339
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,339,918,990, is 3.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
339:3x 113
918:2x 3x 3x 3x 17
990:2x 3x 3x 5x 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 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 49910576760/(3x972)
LCM = 49910576760/2916
LCM = 17116110
Thus, we can understand that the LCM of 162,339,918,990 is 17116110.
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FAQs on LCM of 162, 339, 918, 990
1. What is the LCM of 162, 339, 918, 990?
Answer: LCM of 162, 339, 918, 990 is 17116110.
2. How to calculate the LCM of 162, 339, 918, 990?
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 162, 339, 918, 990.
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}.