LCM of 866, 384, 451, 415, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 384, 451, 415, 852 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 866, 384, 451, 415, 852. So, keep reading to learn more.
Given numbers are 866,384,451,415,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,384,451,415,852 is 2209541220480.
Find LCM of 866,384,451,415,852 with Prime Factorization
| 2 | 866, 384, 451, 415, 852 |
| 2 | 433, 192, 451, 415, 426 |
| 3 | 433, 96, 451, 415, 213 |
| 433, 32, 451, 415, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 433 x 32 x 451 x 415 x 71 = 2209541220480
Therefore, the lowest common multiple of 866,384,451,415,852 is 2209541220480.
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.
866 x 384 x 451 x 415 x 852 = 53028989291520
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.
866 : 1, 2, 433, 866
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
451 : 1, 11, 41, 451
415 : 1, 5, 83, 415
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,384,451,415,852, is 1.
Now, the common factors can be found like this.
866:2x 433
384:2x 2x 2x 2x 2x 2x 2x 3
451:11x 41
415:5x 83
852:2x 2x 3x 71
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 3 = 24
Therefore, the value for common factors is 24.
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 = 53028989291520/(1x24)
LCM = 53028989291520/24
LCM = 2209541220480
Thus, we can understand that the LCM of 866,384,451,415,852 is 2209541220480.
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FAQs on LCM of 866, 384, 451, 415, 852
1. What is the LCM of 866, 384, 451, 415, 852?
Answer: LCM of 866, 384, 451, 415, 852 is 2209541220480.
2. How to calculate the LCM of 866, 384, 451, 415, 852?
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 866, 384, 451, 415, 852.
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}.