LCM of 816, 962, 111, 351, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 962, 111, 351, 977 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, 962, 111, 351, 977. So, keep reading to learn more.
Given numbers are 816,962,111,351,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,962,111,351,977 is 3451217328.
Find LCM of 816,962,111,351,977 with Prime Factorization
| 2 | 816, 962, 111, 351, 977 |
| 3 | 408, 481, 111, 351, 977 |
| 13 | 136, 481, 37, 117, 977 |
| 37 | 136, 37, 37, 9, 977 |
| 136, 1, 1, 9, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 136 x 1 x 1 x 9 x 977 = 3451217328
Therefore, the lowest common multiple of 816,962,111,351,977 is 3451217328.
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 962 x 111 x 351 x 977 = 29880639625824
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
111 : 1, 3, 37, 111
351 : 1, 3, 9, 13, 27, 39, 117, 351
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,962,111,351,977, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
962:2x 13x 37
111:3x 37
351:3x 3x 3x 13
977:977
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 13x 37 = 8658
Therefore, the value for common factors is 8658.
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 = 29880639625824/(1x8658)
LCM = 29880639625824/8658
LCM = 3451217328
Thus, we can understand that the LCM of 816,962,111,351,977 is 3451217328.
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FAQs on LCM of 816, 962, 111, 351, 977
1. What is the LCM of 816, 962, 111, 351, 977?
Answer: LCM of 816, 962, 111, 351, 977 is 3451217328.
2. How to calculate the LCM of 816, 962, 111, 351, 977?
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, 962, 111, 351, 977.
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}.