LCM of 726, 906, 822, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 906, 822, 636 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 726, 906, 822, 636. So, keep reading to learn more.
Given numbers are 726,906,822,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,906,822,636 is 1591988772.
Find LCM of 726,906,822,636 with Prime Factorization
| 2 | 726, 906, 822, 636 |
| 3 | 363, 453, 411, 318 |
| 121, 151, 137, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 121 x 151 x 137 x 106 = 1591988772
Therefore, the lowest common multiple of 726,906,822,636 is 1591988772.
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.
726 x 906 x 822 x 636 = 343869574752
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
906 : 1, 2, 3, 6, 151, 302, 453, 906
822 : 1, 2, 3, 6, 137, 274, 411, 822
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,906,822,636, is 6.
Now, the common factors can be found like this.
726:2x 3x 11x 11
906:2x 3x 151
822:2x 3x 137
636:2x 2x 3x 53
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 3 = 36
Therefore, the value for common factors is 36.
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 = 343869574752/(6x36)
LCM = 343869574752/216
LCM = 1591988772
Thus, we can understand that the LCM of 726,906,822,636 is 1591988772.
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FAQs on LCM of 726, 906, 822, 636
1. What is the LCM of 726, 906, 822, 636?
Answer: LCM of 726, 906, 822, 636 is 1591988772.
2. How to calculate the LCM of 726, 906, 822, 636?
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 726, 906, 822, 636.
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}.