LCM of 165, 330, 571, 798, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 330, 571, 798, 269 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 165, 330, 571, 798, 269. So, keep reading to learn more.
Given numbers are 165,330,571,798,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,330,571,798,269 is 6741460110.
Find LCM of 165,330,571,798,269 with Prime Factorization
| 2 | 165, 330, 571, 798, 269 |
| 3 | 165, 165, 571, 399, 269 |
| 5 | 55, 55, 571, 133, 269 |
| 11 | 11, 11, 571, 133, 269 |
| 1, 1, 571, 133, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 1 x 571 x 133 x 269 = 6741460110
Therefore, the lowest common multiple of 165,330,571,798,269 is 6741460110.
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.
165 x 330 x 571 x 798 x 269 = 6674045508900
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
571 : 1, 571
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,330,571,798,269, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
330:2x 3x 5x 11
571:571
798:2x 3x 7x 19
269:269
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 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 6674045508900/(1x990)
LCM = 6674045508900/990
LCM = 6741460110
Thus, we can understand that the LCM of 165,330,571,798,269 is 6741460110.
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FAQs on LCM of 165, 330, 571, 798, 269
1. What is the LCM of 165, 330, 571, 798, 269?
Answer: LCM of 165, 330, 571, 798, 269 is 6741460110.
2. How to calculate the LCM of 165, 330, 571, 798, 269?
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 165, 330, 571, 798, 269.
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}.