LCM of 317, 396, 729, 153, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 396, 729, 153, 105 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 317, 396, 729, 153, 105. So, keep reading to learn more.
Given numbers are 317,396,729,153,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,396,729,153,105 is 6050014740.
Find LCM of 317,396,729,153,105 with Prime Factorization
| 3 | 317, 396, 729, 153, 105 |
| 3 | 317, 132, 243, 51, 35 |
| 317, 44, 81, 17, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 317 x 44 x 81 x 17 x 35 = 6050014740
Therefore, the lowest common multiple of 317,396,729,153,105 is 6050014740.
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.
317 x 396 x 729 x 153 x 105 = 1470153581820
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.
317 : 1, 317
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
729 : 1, 3, 9, 27, 81, 243, 729
153 : 1, 3, 9, 17, 51, 153
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,396,729,153,105, is 1.
Now, the common factors can be found like this.
317:317
396:2x 2x 3x 3x 11
729:3x 3x 3x 3x 3x 3
153:3x 3x 17
105:3x 5x 7
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 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 1470153581820/(1x243)
LCM = 1470153581820/243
LCM = 6050014740
Thus, we can understand that the LCM of 317,396,729,153,105 is 6050014740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 317, 396, 729, 153, 105
1. What is the LCM of 317, 396, 729, 153, 105?
Answer: LCM of 317, 396, 729, 153, 105 is 6050014740.
2. How to calculate the LCM of 317, 396, 729, 153, 105?
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 317, 396, 729, 153, 105.
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}.