Find the LCM of 810, 933, 577, 126, 729 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 810, 933, 577, 126, 729. So, keep reading to learn more.
Given numbers are 810,933,577,126,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,933,577,126,729 is 9157180410.
Find LCM of 810,933,577,126,729 with Prime Factorization
2 | 810, 933, 577, 126, 729 |
3 | 405, 933, 577, 63, 729 |
3 | 135, 311, 577, 21, 243 |
3 | 45, 311, 577, 7, 81 |
3 | 15, 311, 577, 7, 27 |
5, 311, 577, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 311 x 577 x 7 x 9 = 9157180410
Therefore, the lowest common multiple of 810,933,577,126,729 is 9157180410.
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.
810 x 933 x 577 x 126 x 729 = 40053507113340
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
933 : 1, 3, 311, 933
577 : 1, 577
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,933,577,126,729, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
933:3x 311
577:577
126:2x 3x 3x 7
729:3x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3x 3 = 4374
Therefore, the value for common factors is 4374.
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 = 40053507113340/(1x4374)
LCM = 40053507113340/4374
LCM = 9157180410
Thus, we can understand that the LCM of 810,933,577,126,729 is 9157180410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 810, 933, 577, 126, 729?
Answer: LCM of 810, 933, 577, 126, 729 is 9157180410.
2. How to calculate the LCM of 810, 933, 577, 126, 729?
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 810, 933, 577, 126, 729.
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}.