LCM of 897, 728, 713, 366, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 728, 713, 366, 192 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, 728, 713, 366, 192. So, keep reading to learn more.
Given numbers are 897,728,713,366,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,728,713,366,192 is 759909696.
Find LCM of 897,728,713,366,192 with Prime Factorization
| 2 | 897, 728, 713, 366, 192 |
| 2 | 897, 364, 713, 183, 96 |
| 2 | 897, 182, 713, 183, 48 |
| 3 | 897, 91, 713, 183, 24 |
| 13 | 299, 91, 713, 61, 8 |
| 23 | 23, 7, 713, 61, 8 |
| 1, 7, 31, 61, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 23 x 1 x 7 x 31 x 61 x 8 = 759909696
Therefore, the lowest common multiple of 897,728,713,366,192 is 759909696.
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 728 x 713 x 366 x 192 = 32718671870976
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
713 : 1, 23, 31, 713
366 : 1, 2, 3, 6, 61, 122, 183, 366
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,728,713,366,192, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
728:2x 2x 2x 7x 13
713:23x 31
366:2x 3x 61
192:2x 2x 2x 2x 2x 2x 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 3x 3x 13x 23 = 43056
Therefore, the value for common factors is 43056.
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 = 32718671870976/(1x43056)
LCM = 32718671870976/43056
LCM = 759909696
Thus, we can understand that the LCM of 897,728,713,366,192 is 759909696.
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FAQs on LCM of 897, 728, 713, 366, 192
1. What is the LCM of 897, 728, 713, 366, 192?
Answer: LCM of 897, 728, 713, 366, 192 is 759909696.
2. How to calculate the LCM of 897, 728, 713, 366, 192?
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, 728, 713, 366, 192.
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}.