LCM of 801, 747, 162, 789, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 747, 162, 789, 810 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 801, 747, 162, 789, 810. So, keep reading to learn more.
Given numbers are 801,747,162,789,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,747,162,789,810 is 1573652610.
Find LCM of 801,747,162,789,810 with Prime Factorization
| 2 | 801, 747, 162, 789, 810 |
| 3 | 801, 747, 81, 789, 405 |
| 3 | 267, 249, 27, 263, 135 |
| 3 | 89, 83, 9, 263, 45 |
| 3 | 89, 83, 3, 263, 15 |
| 89, 83, 1, 263, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 89 x 83 x 1 x 263 x 5 = 1573652610
Therefore, the lowest common multiple of 801,747,162,789,810 is 1573652610.
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.
801 x 747 x 162 x 789 x 810 = 61948408645260
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.
801 : 1, 3, 9, 89, 267, 801
747 : 1, 3, 9, 83, 249, 747
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
789 : 1, 3, 263, 789
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,747,162,789,810, is 3.
Now, the common factors can be found like this.
801:3x 3x 89
747:3x 3x 83
162:2x 3x 3x 3x 3
789:3x 263
810:2x 3x 3x 3x 3x 5
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 3x 3 = 13122
Therefore, the value for common factors is 13122.
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 = 61948408645260/(3x13122)
LCM = 61948408645260/39366
LCM = 1573652610
Thus, we can understand that the LCM of 801,747,162,789,810 is 1573652610.
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FAQs on LCM of 801, 747, 162, 789, 810
1. What is the LCM of 801, 747, 162, 789, 810?
Answer: LCM of 801, 747, 162, 789, 810 is 1573652610.
2. How to calculate the LCM of 801, 747, 162, 789, 810?
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 801, 747, 162, 789, 810.
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}.