LCM of 809, 597, 288, 512, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 597, 288, 512, 666 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 809, 597, 288, 512, 666. So, keep reading to learn more.
Given numbers are 809,597,288,512,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,597,288,512,666 is 27448321536.
Find LCM of 809,597,288,512,666 with Prime Factorization
| 2 | 809, 597, 288, 512, 666 |
| 2 | 809, 597, 144, 256, 333 |
| 2 | 809, 597, 72, 128, 333 |
| 2 | 809, 597, 36, 64, 333 |
| 2 | 809, 597, 18, 32, 333 |
| 3 | 809, 597, 9, 16, 333 |
| 3 | 809, 199, 3, 16, 111 |
| 809, 199, 1, 16, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 809 x 199 x 1 x 16 x 37 = 27448321536
Therefore, the lowest common multiple of 809,597,288,512,666 is 27448321536.
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.
809 x 597 x 288 x 512 x 666 = 47430699614208
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.
809 : 1, 809
597 : 1, 3, 199, 597
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,597,288,512,666, is 1.
Now, the common factors can be found like this.
809:809
597:3x 199
288:2x 2x 2x 2x 2x 3x 3
512:2x 2x 2x 2x 2x 2x 2x 2x 2
666:2x 3x 3x 37
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 47430699614208/(1x1728)
LCM = 47430699614208/1728
LCM = 27448321536
Thus, we can understand that the LCM of 809,597,288,512,666 is 27448321536.
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FAQs on LCM of 809, 597, 288, 512, 666
1. What is the LCM of 809, 597, 288, 512, 666?
Answer: LCM of 809, 597, 288, 512, 666 is 27448321536.
2. How to calculate the LCM of 809, 597, 288, 512, 666?
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 809, 597, 288, 512, 666.
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}.