LCM of 627, 317, 165, 795, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 317, 165, 795, 647 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 627, 317, 165, 795, 647. So, keep reading to learn more.
Given numbers are 627,317,165,795,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,317,165,795,647 is 34078224345.
Find LCM of 627,317,165,795,647 with Prime Factorization
| 3 | 627, 317, 165, 795, 647 |
| 5 | 209, 317, 55, 265, 647 |
| 11 | 209, 317, 11, 53, 647 |
| 19, 317, 1, 53, 647 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 19 x 317 x 1 x 53 x 647 = 34078224345
Therefore, the lowest common multiple of 627,317,165,795,647 is 34078224345.
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.
627 x 317 x 165 x 795 x 647 = 16868721050775
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
317 : 1, 317
165 : 1, 3, 5, 11, 15, 33, 55, 165
795 : 1, 3, 5, 15, 53, 159, 265, 795
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,317,165,795,647, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
317:317
165:3x 5x 11
795:3x 5x 53
647:647
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 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 16868721050775/(1x495)
LCM = 16868721050775/495
LCM = 34078224345
Thus, we can understand that the LCM of 627,317,165,795,647 is 34078224345.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 317, 165, 795, 647
1. What is the LCM of 627, 317, 165, 795, 647?
Answer: LCM of 627, 317, 165, 795, 647 is 34078224345.
2. How to calculate the LCM of 627, 317, 165, 795, 647?
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 627, 317, 165, 795, 647.
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}.