LCM of 768, 969, 897, 665, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 969, 897, 665, 824 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 768, 969, 897, 665, 824. So, keep reading to learn more.
Given numbers are 768,969,897,665,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,969,897,665,824 is 267386945280.
Find LCM of 768,969,897,665,824 with Prime Factorization
| 2 | 768, 969, 897, 665, 824 |
| 2 | 384, 969, 897, 665, 412 |
| 2 | 192, 969, 897, 665, 206 |
| 3 | 96, 969, 897, 665, 103 |
| 19 | 32, 323, 299, 665, 103 |
| 32, 17, 299, 35, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 32 x 17 x 299 x 35 x 103 = 267386945280
Therefore, the lowest common multiple of 768,969,897,665,824 is 267386945280.
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.
768 x 969 x 897 x 665 x 824 = 365785341143040
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
969 : 1, 3, 17, 19, 51, 57, 323, 969
897 : 1, 3, 13, 23, 39, 69, 299, 897
665 : 1, 5, 7, 19, 35, 95, 133, 665
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,969,897,665,824, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
969:3x 17x 19
897:3x 13x 23
665:5x 7x 19
824:2x 2x 2x 103
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 365785341143040/(1x1368)
LCM = 365785341143040/1368
LCM = 267386945280
Thus, we can understand that the LCM of 768,969,897,665,824 is 267386945280.
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FAQs on LCM of 768, 969, 897, 665, 824
1. What is the LCM of 768, 969, 897, 665, 824?
Answer: LCM of 768, 969, 897, 665, 824 is 267386945280.
2. How to calculate the LCM of 768, 969, 897, 665, 824?
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 768, 969, 897, 665, 824.
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}.