LCM of 816, 182, 592, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 182, 592, 414 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, 182, 592, 414. So, keep reading to learn more.
Given numbers are 816,182,592,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,182,592,414 is 189575568.
Find LCM of 816,182,592,414 with Prime Factorization
| 2 | 816, 182, 592, 414 |
| 2 | 408, 91, 296, 207 |
| 2 | 204, 91, 148, 207 |
| 2 | 102, 91, 74, 207 |
| 3 | 51, 91, 37, 207 |
| 17, 91, 37, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 91 x 37 x 69 = 189575568
Therefore, the lowest common multiple of 816,182,592,414 is 189575568.
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 182 x 592 x 414 = 36398509056
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
182 : 1, 2, 7, 13, 14, 26, 91, 182
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,182,592,414, is 2.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
182:2x 7x 13
592:2x 2x 2x 2x 37
414:2x 3x 3x 23
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 36398509056/(2x96)
LCM = 36398509056/192
LCM = 189575568
Thus, we can understand that the LCM of 816,182,592,414 is 189575568.
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FAQs on LCM of 816, 182, 592, 414
1. What is the LCM of 816, 182, 592, 414?
Answer: LCM of 816, 182, 592, 414 is 189575568.
2. How to calculate the LCM of 816, 182, 592, 414?
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, 182, 592, 414.
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}.