LCM of 416, 963, 171, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 963, 171, 559 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 416, 963, 171, 559. So, keep reading to learn more.
Given numbers are 416,963,171,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,963,171,559 is 327296736.
Find LCM of 416,963,171,559 with Prime Factorization
| 3 | 416, 963, 171, 559 |
| 3 | 416, 321, 57, 559 |
| 13 | 416, 107, 19, 559 |
| 32, 107, 19, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 32 x 107 x 19 x 43 = 327296736
Therefore, the lowest common multiple of 416,963,171,559 is 327296736.
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.
416 x 963 x 171 x 559 = 38293718112
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
963 : 1, 3, 9, 107, 321, 963
171 : 1, 3, 9, 19, 57, 171
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,963,171,559, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
963:3x 3x 107
171:3x 3x 19
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 38293718112/(1x117)
LCM = 38293718112/117
LCM = 327296736
Thus, we can understand that the LCM of 416,963,171,559 is 327296736.
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FAQs on LCM of 416, 963, 171, 559
1. What is the LCM of 416, 963, 171, 559?
Answer: LCM of 416, 963, 171, 559 is 327296736.
2. How to calculate the LCM of 416, 963, 171, 559?
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 416, 963, 171, 559.
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}.