LCM of 822, 172, 209, 888, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 172, 209, 888, 389 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, 172, 209, 888, 389. So, keep reading to learn more.
Given numbers are 822,172,209,888,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,172,209,888,389 is 425302441608.
Find LCM of 822,172,209,888,389 with Prime Factorization
| 2 | 822, 172, 209, 888, 389 |
| 2 | 411, 86, 209, 444, 389 |
| 3 | 411, 43, 209, 222, 389 |
| 137, 43, 209, 74, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 43 x 209 x 74 x 389 = 425302441608
Therefore, the lowest common multiple of 822,172,209,888,389 is 425302441608.
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 172 x 209 x 888 x 389 = 10207258598592
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
172 : 1, 2, 4, 43, 86, 172
209 : 1, 11, 19, 209
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,172,209,888,389, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
172:2x 2x 43
209:11x 19
888:2x 2x 2x 3x 37
389:389
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 = 10207258598592/(1x24)
LCM = 10207258598592/24
LCM = 425302441608
Thus, we can understand that the LCM of 822,172,209,888,389 is 425302441608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 172, 209, 888, 389
1. What is the LCM of 822, 172, 209, 888, 389?
Answer: LCM of 822, 172, 209, 888, 389 is 425302441608.
2. How to calculate the LCM of 822, 172, 209, 888, 389?
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, 172, 209, 888, 389.
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}.