LCM of 822, 143, 741, 304, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 143, 741, 304, 536 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, 143, 741, 304, 536. So, keep reading to learn more.
Given numbers are 822,143,741,304,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,143,741,304,536 is 1197088464.
Find LCM of 822,143,741,304,536 with Prime Factorization
| 2 | 822, 143, 741, 304, 536 |
| 2 | 411, 143, 741, 152, 268 |
| 2 | 411, 143, 741, 76, 134 |
| 3 | 411, 143, 741, 38, 67 |
| 13 | 137, 143, 247, 38, 67 |
| 19 | 137, 11, 19, 38, 67 |
| 137, 11, 1, 2, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 137 x 11 x 1 x 2 x 67 = 1197088464
Therefore, the lowest common multiple of 822,143,741,304,536 is 1197088464.
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 143 x 741 x 304 x 536 = 14192680829184
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
143 : 1, 11, 13, 143
741 : 1, 3, 13, 19, 39, 57, 247, 741
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,143,741,304,536, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
143:11x 13
741:3x 13x 19
304:2x 2x 2x 2x 19
536:2x 2x 2x 67
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 3x 13x 19 = 11856
Therefore, the value for common factors is 11856.
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 = 14192680829184/(1x11856)
LCM = 14192680829184/11856
LCM = 1197088464
Thus, we can understand that the LCM of 822,143,741,304,536 is 1197088464.
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FAQs on LCM of 822, 143, 741, 304, 536
1. What is the LCM of 822, 143, 741, 304, 536?
Answer: LCM of 822, 143, 741, 304, 536 is 1197088464.
2. How to calculate the LCM of 822, 143, 741, 304, 536?
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, 143, 741, 304, 536.
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}.