LCM of 689, 939, 425, 348, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 939, 425, 348, 216 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 689, 939, 425, 348, 216. So, keep reading to learn more.
Given numbers are 689,939,425,348,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,939,425,348,216 is 574122065400.
Find LCM of 689,939,425,348,216 with Prime Factorization
| 2 | 689, 939, 425, 348, 216 |
| 2 | 689, 939, 425, 174, 108 |
| 3 | 689, 939, 425, 87, 54 |
| 689, 313, 425, 29, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 689 x 313 x 425 x 29 x 18 = 574122065400
Therefore, the lowest common multiple of 689,939,425,348,216 is 574122065400.
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.
689 x 939 x 425 x 348 x 216 = 20668394354400
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.
689 : 1, 13, 53, 689
939 : 1, 3, 313, 939
425 : 1, 5, 17, 25, 85, 425
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,939,425,348,216, is 1.
Now, the common factors can be found like this.
689:13x 53
939:3x 313
425:5x 5x 17
348:2x 2x 3x 29
216:2x 2x 2x 3x 3x 3
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 20668394354400/(1x36)
LCM = 20668394354400/36
LCM = 574122065400
Thus, we can understand that the LCM of 689,939,425,348,216 is 574122065400.
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FAQs on LCM of 689, 939, 425, 348, 216
1. What is the LCM of 689, 939, 425, 348, 216?
Answer: LCM of 689, 939, 425, 348, 216 is 574122065400.
2. How to calculate the LCM of 689, 939, 425, 348, 216?
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 689, 939, 425, 348, 216.
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}.