LCM of 792, 704, 228, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 704, 228, 866 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 792, 704, 228, 866. So, keep reading to learn more.
Given numbers are 792,704,228,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,704,228,866 is 52126272.
Find LCM of 792,704,228,866 with Prime Factorization
| 2 | 792, 704, 228, 866 |
| 2 | 396, 352, 114, 433 |
| 2 | 198, 176, 57, 433 |
| 3 | 99, 88, 57, 433 |
| 11 | 33, 88, 19, 433 |
| 3, 8, 19, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 3 x 8 x 19 x 433 = 52126272
Therefore, the lowest common multiple of 792,704,228,866 is 52126272.
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.
792 x 704 x 228 x 866 = 110090686464
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
866 : 1, 2, 433, 866
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,704,228,866, is 2.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
704:2x 2x 2x 2x 2x 2x 11
228:2x 2x 3x 19
866:2x 433
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 110090686464/(2x1056)
LCM = 110090686464/2112
LCM = 52126272
Thus, we can understand that the LCM of 792,704,228,866 is 52126272.
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FAQs on LCM of 792, 704, 228, 866
1. What is the LCM of 792, 704, 228, 866?
Answer: LCM of 792, 704, 228, 866 is 52126272.
2. How to calculate the LCM of 792, 704, 228, 866?
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 792, 704, 228, 866.
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}.