LCM of 822, 232, 326, 400, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 232, 326, 400, 493 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, 232, 326, 400, 493. So, keep reading to learn more.
Given numbers are 822,232,326,400,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,232,326,400,493 is 13211019600.
Find LCM of 822,232,326,400,493 with Prime Factorization
| 2 | 822, 232, 326, 400, 493 |
| 2 | 411, 116, 163, 200, 493 |
| 2 | 411, 58, 163, 100, 493 |
| 29 | 411, 29, 163, 50, 493 |
| 411, 1, 163, 50, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 411 x 1 x 163 x 50 x 17 = 13211019600
Therefore, the lowest common multiple of 822,232,326,400,493 is 13211019600.
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 232 x 326 x 400 x 493 = 12259826188800
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
232 : 1, 2, 4, 8, 29, 58, 116, 232
326 : 1, 2, 163, 326
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,232,326,400,493, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
232:2x 2x 2x 29
326:2x 163
400:2x 2x 2x 2x 5x 5
493:17x 29
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 29 = 928
Therefore, the value for common factors is 928.
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 = 12259826188800/(1x928)
LCM = 12259826188800/928
LCM = 13211019600
Thus, we can understand that the LCM of 822,232,326,400,493 is 13211019600.
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FAQs on LCM of 822, 232, 326, 400, 493
1. What is the LCM of 822, 232, 326, 400, 493?
Answer: LCM of 822, 232, 326, 400, 493 is 13211019600.
2. How to calculate the LCM of 822, 232, 326, 400, 493?
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, 232, 326, 400, 493.
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}.