LCM of 68, 96, 84, 90, 317
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 68, 96, 84, 90, 317 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 68, 96, 84, 90, 317. So, keep reading to learn more.
Given numbers are 68,96,84,90,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 68,96,84,90,317 is 54321120.
Find LCM of 68,96,84,90,317 with Prime Factorization
| 2 | 68, 96, 84, 90, 317 |
| 2 | 34, 48, 42, 45, 317 |
| 3 | 17, 24, 21, 45, 317 |
| 17, 8, 7, 15, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 8 x 7 x 15 x 317 = 54321120
Therefore, the lowest common multiple of 68,96,84,90,317 is 54321120.
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.
68 x 96 x 84 x 90 x 317 = 15644482560
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.
68 : 1, 2, 4, 17, 34, 68
96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,96,84,90,317, is 1.
Now, the common factors can be found like this.
68:2x 2x 17
96:2x 2x 2x 2x 2x 3
84:2x 2x 3x 7
90:2x 3x 3x 5
317:317
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 15644482560/(1x288)
LCM = 15644482560/288
LCM = 54321120
Thus, we can understand that the LCM of 68,96,84,90,317 is 54321120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 68, 96, 84, 90, 317
1. What is the LCM of 68, 96, 84, 90, 317?
Answer: LCM of 68, 96, 84, 90, 317 is 54321120.
2. How to calculate the LCM of 68, 96, 84, 90, 317?
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 68, 96, 84, 90, 317.
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}.