LCM of 717, 916, 450, 939, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 916, 450, 939, 687 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 717, 916, 450, 939, 687. So, keep reading to learn more.
Given numbers are 717,916,450,939,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,916,450,939,687 is 15417722700.
Find LCM of 717,916,450,939,687 with Prime Factorization
| 2 | 717, 916, 450, 939, 687 |
| 3 | 717, 458, 225, 939, 687 |
| 229 | 239, 458, 75, 313, 229 |
| 239, 2, 75, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 229 x 239 x 2 x 75 x 313 x 1 = 15417722700
Therefore, the lowest common multiple of 717,916,450,939,687 is 15417722700.
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.
717 x 916 x 450 x 939 x 687 = 190655558908200
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.
717 : 1, 3, 239, 717
916 : 1, 2, 4, 229, 458, 916
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
939 : 1, 3, 313, 939
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,916,450,939,687, is 1.
Now, the common factors can be found like this.
717:3x 239
916:2x 2x 229
450:2x 3x 3x 5x 5
939:3x 313
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 229 = 12366
Therefore, the value for common factors is 12366.
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 = 190655558908200/(1x12366)
LCM = 190655558908200/12366
LCM = 15417722700
Thus, we can understand that the LCM of 717,916,450,939,687 is 15417722700.
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FAQs on LCM of 717, 916, 450, 939, 687
1. What is the LCM of 717, 916, 450, 939, 687?
Answer: LCM of 717, 916, 450, 939, 687 is 15417722700.
2. How to calculate the LCM of 717, 916, 450, 939, 687?
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 717, 916, 450, 939, 687.
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}.