LCM of 816, 450, 827, 170, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 450, 827, 170, 494 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 816, 450, 827, 170, 494. So, keep reading to learn more.
Given numbers are 816,450,827,170,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,450,827,170,494 is 12501262800.
Find LCM of 816,450,827,170,494 with Prime Factorization
| 2 | 816, 450, 827, 170, 494 |
| 3 | 408, 225, 827, 85, 247 |
| 5 | 136, 75, 827, 85, 247 |
| 17 | 136, 15, 827, 17, 247 |
| 8, 15, 827, 1, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 8 x 15 x 827 x 1 x 247 = 12501262800
Therefore, the lowest common multiple of 816,450,827,170,494 is 12501262800.
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.
816 x 450 x 827 x 170 x 494 = 25502576112000
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
827 : 1, 827
170 : 1, 2, 5, 10, 17, 34, 85, 170
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,450,827,170,494, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
450:2x 3x 3x 5x 5
827:827
170:2x 5x 17
494:2x 13x 19
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 2x 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 25502576112000/(1x2040)
LCM = 25502576112000/2040
LCM = 12501262800
Thus, we can understand that the LCM of 816,450,827,170,494 is 12501262800.
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FAQs on LCM of 816, 450, 827, 170, 494
1. What is the LCM of 816, 450, 827, 170, 494?
Answer: LCM of 816, 450, 827, 170, 494 is 12501262800.
2. How to calculate the LCM of 816, 450, 827, 170, 494?
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 816, 450, 827, 170, 494.
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}.