LCM of 272, 561, 997, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 561, 997, 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 272, 561, 997, 990. So, keep reading to learn more.
Given numbers are 272,561,997,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,561,997,990 is 134236080.
Find LCM of 272,561,997,990 with Prime Factorization
| 2 | 272, 561, 997, 990 |
| 3 | 136, 561, 997, 495 |
| 11 | 136, 187, 997, 165 |
| 17 | 136, 17, 997, 15 |
| 8, 1, 997, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 8 x 1 x 997 x 15 = 134236080
Therefore, the lowest common multiple of 272,561,997,990 is 134236080.
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.
272 x 561 x 997 x 990 = 150612881760
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
561 : 1, 3, 11, 17, 33, 51, 187, 561
997 : 1, 997
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,561,997,990, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
561:3x 11x 17
997:997
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 3x 11x 17 = 1122
Therefore, the value for common factors is 1122.
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 = 150612881760/(1x1122)
LCM = 150612881760/1122
LCM = 134236080
Thus, we can understand that the LCM of 272,561,997,990 is 134236080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 272, 561, 997, 990
1. What is the LCM of 272, 561, 997, 990?
Answer: LCM of 272, 561, 997, 990 is 134236080.
2. How to calculate the LCM of 272, 561, 997, 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 272, 561, 997, 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}.