LCM of 162, 284, 169, 315, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 284, 169, 315, 585 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, 284, 169, 315, 585. So, keep reading to learn more.
Given numbers are 162,284,169,315,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,284,169,315,585 is 136068660.
Find LCM of 162,284,169,315,585 with Prime Factorization
| 2 | 162, 284, 169, 315, 585 |
| 3 | 81, 142, 169, 315, 585 |
| 3 | 27, 142, 169, 105, 195 |
| 5 | 9, 142, 169, 35, 65 |
| 13 | 9, 142, 169, 7, 13 |
| 9, 142, 1, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 9 x 142 x 1 x 7 x 13 = 136068660
Therefore, the lowest common multiple of 162,284,169,315,585 is 136068660.
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 284 x 169 x 315 x 585 = 1432802989800
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
284 : 1, 2, 4, 71, 142, 284
169 : 1, 13, 169
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,284,169,315,585, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
284:2x 2x 71
169:13x 13
315:3x 3x 5x 7
585:3x 3x 5x 13
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 3x 3x 5x 13 = 10530
Therefore, the value for common factors is 10530.
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 = 1432802989800/(1x10530)
LCM = 1432802989800/10530
LCM = 136068660
Thus, we can understand that the LCM of 162,284,169,315,585 is 136068660.
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FAQs on LCM of 162, 284, 169, 315, 585
1. What is the LCM of 162, 284, 169, 315, 585?
Answer: LCM of 162, 284, 169, 315, 585 is 136068660.
2. How to calculate the LCM of 162, 284, 169, 315, 585?
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, 284, 169, 315, 585.
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}.