LCM of 822, 218, 305, 109, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 218, 305, 109, 492 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, 218, 305, 109, 492. So, keep reading to learn more.
Given numbers are 822,218,305,109,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,218,305,109,492 is 2240845980.
Find LCM of 822,218,305,109,492 with Prime Factorization
| 2 | 822, 218, 305, 109, 492 |
| 3 | 411, 109, 305, 109, 246 |
| 109 | 137, 109, 305, 109, 82 |
| 137, 1, 305, 1, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 137 x 1 x 305 x 1 x 82 = 2240845980
Therefore, the lowest common multiple of 822,218,305,109,492 is 2240845980.
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 218 x 305 x 109 x 492 = 2931026541840
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
218 : 1, 2, 109, 218
305 : 1, 5, 61, 305
109 : 1, 109
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,218,305,109,492, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
218:2x 109
305:5x 61
109:109
492:2x 2x 3x 41
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 3x 109 = 1308
Therefore, the value for common factors is 1308.
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 = 2931026541840/(1x1308)
LCM = 2931026541840/1308
LCM = 2240845980
Thus, we can understand that the LCM of 822,218,305,109,492 is 2240845980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 218, 305, 109, 492
1. What is the LCM of 822, 218, 305, 109, 492?
Answer: LCM of 822, 218, 305, 109, 492 is 2240845980.
2. How to calculate the LCM of 822, 218, 305, 109, 492?
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, 218, 305, 109, 492.
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}.