LCM of 104, 783, 836, 627, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 783, 836, 627, 963 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 104, 783, 836, 627, 963. So, keep reading to learn more.
Given numbers are 104,783,836,627,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,783,836,627,963 is 1821063816.
Find LCM of 104,783,836,627,963 with Prime Factorization
| 2 | 104, 783, 836, 627, 963 |
| 2 | 52, 783, 418, 627, 963 |
| 3 | 26, 783, 209, 627, 963 |
| 3 | 26, 261, 209, 209, 321 |
| 11 | 26, 87, 209, 209, 107 |
| 19 | 26, 87, 19, 19, 107 |
| 26, 87, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 26 x 87 x 1 x 1 x 107 = 1821063816
Therefore, the lowest common multiple of 104,783,836,627,963 is 1821063816.
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.
104 x 783 x 836 x 627 x 963 = 41105052454752
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
783 : 1, 3, 9, 27, 29, 87, 261, 783
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
627 : 1, 3, 11, 19, 33, 57, 209, 627
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,783,836,627,963, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
783:3x 3x 3x 29
836:2x 2x 11x 19
627:3x 11x 19
963:3x 3x 107
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 3x 3x 3x 11x 19 = 22572
Therefore, the value for common factors is 22572.
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 = 41105052454752/(1x22572)
LCM = 41105052454752/22572
LCM = 1821063816
Thus, we can understand that the LCM of 104,783,836,627,963 is 1821063816.
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FAQs on LCM of 104, 783, 836, 627, 963
1. What is the LCM of 104, 783, 836, 627, 963?
Answer: LCM of 104, 783, 836, 627, 963 is 1821063816.
2. How to calculate the LCM of 104, 783, 836, 627, 963?
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 104, 783, 836, 627, 963.
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}.