LCM of 339, 685, 675, 125, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 685, 675, 125, 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 339, 685, 675, 125, 216. So, keep reading to learn more.
Given numbers are 339,685,675,125,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,685,675,125,216 is 417987000.
Find LCM of 339,685,675,125,216 with Prime Factorization
| 3 | 339, 685, 675, 125, 216 |
| 3 | 113, 685, 225, 125, 72 |
| 3 | 113, 685, 75, 125, 24 |
| 5 | 113, 685, 25, 125, 8 |
| 5 | 113, 137, 5, 25, 8 |
| 113, 137, 1, 5, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 5 x 113 x 137 x 1 x 5 x 8 = 417987000
Therefore, the lowest common multiple of 339,685,675,125,216 is 417987000.
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.
339 x 685 x 675 x 125 x 216 = 4232118375000
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.
339 : 1, 3, 113, 339
685 : 1, 5, 137, 685
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
125 : 1, 5, 25, 125
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 339,685,675,125,216, is 1.
Now, the common factors can be found like this.
339:3x 113
685:5x 137
675:3x 3x 3x 5x 5
125:5x 5x 5
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.
3x 3x 3x 3x 5x 5x 5 = 10125
Therefore, the value for common factors is 10125.
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 = 4232118375000/(1x10125)
LCM = 4232118375000/10125
LCM = 417987000
Thus, we can understand that the LCM of 339,685,675,125,216 is 417987000.
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FAQs on LCM of 339, 685, 675, 125, 216
1. What is the LCM of 339, 685, 675, 125, 216?
Answer: LCM of 339, 685, 675, 125, 216 is 417987000.
2. How to calculate the LCM of 339, 685, 675, 125, 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 339, 685, 675, 125, 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}.