LCM of 289, 817, 896, 728, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 817, 896, 728, 797 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 289, 817, 896, 728, 797. So, keep reading to learn more.
Given numbers are 289,817,896,728,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,817,896,728,797 is 2191944646528.
Find LCM of 289,817,896,728,797 with Prime Factorization
| 2 | 289, 817, 896, 728, 797 |
| 2 | 289, 817, 448, 364, 797 |
| 2 | 289, 817, 224, 182, 797 |
| 7 | 289, 817, 112, 91, 797 |
| 289, 817, 16, 13, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 289 x 817 x 16 x 13 x 797 = 2191944646528
Therefore, the lowest common multiple of 289,817,896,728,797 is 2191944646528.
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.
289 x 817 x 896 x 728 x 797 = 122748900205568
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.
289 : 1, 17, 289
817 : 1, 19, 43, 817
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,817,896,728,797, is 1.
Now, the common factors can be found like this.
289:17x 17
817:19x 43
896:2x 2x 2x 2x 2x 2x 2x 7
728:2x 2x 2x 7x 13
797:797
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 7 = 56
Therefore, the value for common factors is 56.
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 = 122748900205568/(1x56)
LCM = 122748900205568/56
LCM = 2191944646528
Thus, we can understand that the LCM of 289,817,896,728,797 is 2191944646528.
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FAQs on LCM of 289, 817, 896, 728, 797
1. What is the LCM of 289, 817, 896, 728, 797?
Answer: LCM of 289, 817, 896, 728, 797 is 2191944646528.
2. How to calculate the LCM of 289, 817, 896, 728, 797?
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 289, 817, 896, 728, 797.
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}.