LCM of 806, 468, 711, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 468, 711, 822 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 806, 468, 711, 822. So, keep reading to learn more.
Given numbers are 806,468,711,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,468,711,822 is 157020084.
Find LCM of 806,468,711,822 with Prime Factorization
| 2 | 806, 468, 711, 822 |
| 3 | 403, 234, 711, 411 |
| 3 | 403, 78, 237, 137 |
| 13 | 403, 26, 79, 137 |
| 31, 2, 79, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 31 x 2 x 79 x 137 = 157020084
Therefore, the lowest common multiple of 806,468,711,822 is 157020084.
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.
806 x 468 x 711 x 822 = 220456197936
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
711 : 1, 3, 9, 79, 237, 711
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,468,711,822, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
468:2x 2x 3x 3x 13
711:3x 3x 79
822:2x 3x 137
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 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 220456197936/(1x1404)
LCM = 220456197936/1404
LCM = 157020084
Thus, we can understand that the LCM of 806,468,711,822 is 157020084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 806, 468, 711, 822
1. What is the LCM of 806, 468, 711, 822?
Answer: LCM of 806, 468, 711, 822 is 157020084.
2. How to calculate the LCM of 806, 468, 711, 822?
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 806, 468, 711, 822.
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}.