LCM of 897, 160, 160, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 160, 160, 288 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 897, 160, 160, 288. So, keep reading to learn more.
Given numbers are 897,160,160,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,160,160,288 is 430560.
Find LCM of 897,160,160,288 with Prime Factorization
| 2 | 897, 160, 160, 288 |
| 2 | 897, 80, 80, 144 |
| 2 | 897, 40, 40, 72 |
| 2 | 897, 20, 20, 36 |
| 2 | 897, 10, 10, 18 |
| 3 | 897, 5, 5, 9 |
| 5 | 299, 5, 5, 3 |
| 299, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 299 x 1 x 1 x 3 = 430560
Therefore, the lowest common multiple of 897,160,160,288 is 430560.
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.
897 x 160 x 160 x 288 = 6613401600
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,160,160,288, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
160:2x 2x 2x 2x 2x 5
160:2x 2x 2x 2x 2x 5
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 2x 3x 5 = 15360
Therefore, the value for common factors is 15360.
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 = 6613401600/(1x15360)
LCM = 6613401600/15360
LCM = 430560
Thus, we can understand that the LCM of 897,160,160,288 is 430560.
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FAQs on LCM of 897, 160, 160, 288
1. What is the LCM of 897, 160, 160, 288?
Answer: LCM of 897, 160, 160, 288 is 430560.
2. How to calculate the LCM of 897, 160, 160, 288?
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 897, 160, 160, 288.
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}.