LCM of 866, 923, 808, 754, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 923, 808, 754, 376 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, 923, 808, 754, 376. So, keep reading to learn more.
Given numbers are 866,923,808,754,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,923,808,754,376 is 440146055336.
Find LCM of 866,923,808,754,376 with Prime Factorization
| 2 | 866, 923, 808, 754, 376 |
| 2 | 433, 923, 404, 377, 188 |
| 2 | 433, 923, 202, 377, 94 |
| 13 | 433, 923, 101, 377, 47 |
| 433, 71, 101, 29, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 433 x 71 x 101 x 29 x 47 = 440146055336
Therefore, the lowest common multiple of 866,923,808,754,376 is 440146055336.
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 923 x 808 x 754 x 376 = 183100759019776
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
923 : 1, 13, 71, 923
808 : 1, 2, 4, 8, 101, 202, 404, 808
754 : 1, 2, 13, 26, 29, 58, 377, 754
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,923,808,754,376, is 1.
Now, the common factors can be found like this.
866:2x 433
923:13x 71
808:2x 2x 2x 101
754:2x 13x 29
376:2x 2x 2x 47
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 13 = 416
Therefore, the value for common factors is 416.
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 = 183100759019776/(1x416)
LCM = 183100759019776/416
LCM = 440146055336
Thus, we can understand that the LCM of 866,923,808,754,376 is 440146055336.
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FAQs on LCM of 866, 923, 808, 754, 376
1. What is the LCM of 866, 923, 808, 754, 376?
Answer: LCM of 866, 923, 808, 754, 376 is 440146055336.
2. How to calculate the LCM of 866, 923, 808, 754, 376?
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, 923, 808, 754, 376.
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}.