LCM of 165, 204, 305, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 204, 305, 549 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, 204, 305, 549. So, keep reading to learn more.
Given numbers are 165,204,305,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,204,305,549 is 2053260.
Find LCM of 165,204,305,549 with Prime Factorization
| 3 | 165, 204, 305, 549 |
| 5 | 55, 68, 305, 183 |
| 61 | 11, 68, 61, 183 |
| 11, 68, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 61 x 11 x 68 x 1 x 3 = 2053260
Therefore, the lowest common multiple of 165,204,305,549 is 2053260.
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 204 x 305 x 549 = 5636198700
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
305 : 1, 5, 61, 305
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,204,305,549, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
204:2x 2x 3x 17
305:5x 61
549:3x 3x 61
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 5x 61 = 2745
Therefore, the value for common factors is 2745.
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 = 5636198700/(1x2745)
LCM = 5636198700/2745
LCM = 2053260
Thus, we can understand that the LCM of 165,204,305,549 is 2053260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 204, 305, 549
1. What is the LCM of 165, 204, 305, 549?
Answer: LCM of 165, 204, 305, 549 is 2053260.
2. How to calculate the LCM of 165, 204, 305, 549?
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, 204, 305, 549.
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}.