LCM of 221, 540, 405, 120, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 540, 405, 120, 164 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 221, 540, 405, 120, 164. So, keep reading to learn more.
Given numbers are 221,540,405,120,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,540,405,120,164 is 29357640.
Find LCM of 221,540,405,120,164 with Prime Factorization
| 2 | 221, 540, 405, 120, 164 |
| 2 | 221, 270, 405, 60, 82 |
| 3 | 221, 135, 405, 30, 41 |
| 3 | 221, 45, 135, 10, 41 |
| 3 | 221, 15, 45, 10, 41 |
| 5 | 221, 5, 15, 10, 41 |
| 221, 1, 3, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 221 x 1 x 3 x 2 x 41 = 29357640
Therefore, the lowest common multiple of 221,540,405,120,164 is 29357640.
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.
221 x 540 x 405 x 120 x 164 = 951187536000
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.
221 : 1, 13, 17, 221
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,540,405,120,164, is 1.
Now, the common factors can be found like this.
221:13x 17
540:2x 2x 3x 3x 3x 5
405:3x 3x 3x 3x 5
120:2x 2x 2x 3x 5
164:2x 2x 41
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 2x 2x 3x 3x 3x 3x 5x 5 = 32400
Therefore, the value for common factors is 32400.
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 = 951187536000/(1x32400)
LCM = 951187536000/32400
LCM = 29357640
Thus, we can understand that the LCM of 221,540,405,120,164 is 29357640.
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FAQs on LCM of 221, 540, 405, 120, 164
1. What is the LCM of 221, 540, 405, 120, 164?
Answer: LCM of 221, 540, 405, 120, 164 is 29357640.
2. How to calculate the LCM of 221, 540, 405, 120, 164?
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 221, 540, 405, 120, 164.
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}.