LCM of 822, 363, 866, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 363, 866, 614 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 822, 363, 866, 614. So, keep reading to learn more.
Given numbers are 822,363,866,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,363,866,614 is 13221583122.
Find LCM of 822,363,866,614 with Prime Factorization
| 2 | 822, 363, 866, 614 |
| 3 | 411, 363, 433, 307 |
| 137, 121, 433, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 121 x 433 x 307 = 13221583122
Therefore, the lowest common multiple of 822,363,866,614 is 13221583122.
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.
822 x 363 x 866 x 614 = 158658997464
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
363 : 1, 3, 11, 33, 121, 363
866 : 1, 2, 433, 866
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,363,866,614, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
363:3x 11x 11
866:2x 433
614:2x 307
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 3 = 12
Therefore, the value for common factors is 12.
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 = 158658997464/(1x12)
LCM = 158658997464/12
LCM = 13221583122
Thus, we can understand that the LCM of 822,363,866,614 is 13221583122.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 363, 866, 614
1. What is the LCM of 822, 363, 866, 614?
Answer: LCM of 822, 363, 866, 614 is 13221583122.
2. How to calculate the LCM of 822, 363, 866, 614?
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 822, 363, 866, 614.
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}.