LCM of 810, 606, 957, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 606, 957, 303 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, 606, 957, 303. So, keep reading to learn more.
Given numbers are 810,606,957,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,606,957,303 is 26097390.
Find LCM of 810,606,957,303 with Prime Factorization
| 2 | 810, 606, 957, 303 |
| 3 | 405, 303, 957, 303 |
| 101 | 135, 101, 319, 101 |
| 135, 1, 319, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 135 x 1 x 319 x 1 = 26097390
Therefore, the lowest common multiple of 810,606,957,303 is 26097390.
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 606 x 957 x 303 = 142335165060
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
606 : 1, 2, 3, 6, 101, 202, 303, 606
957 : 1, 3, 11, 29, 33, 87, 319, 957
303 : 1, 3, 101, 303
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,606,957,303, is 3.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
606:2x 3x 101
957:3x 11x 29
303:3x 101
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 101 = 1818
Therefore, the value for common factors is 1818.
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 = 142335165060/(3x1818)
LCM = 142335165060/5454
LCM = 26097390
Thus, we can understand that the LCM of 810,606,957,303 is 26097390.
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FAQs on LCM of 810, 606, 957, 303
1. What is the LCM of 810, 606, 957, 303?
Answer: LCM of 810, 606, 957, 303 is 26097390.
2. How to calculate the LCM of 810, 606, 957, 303?
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, 606, 957, 303.
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}.