LCM of 215, 305, 589, 899, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 305, 589, 899, 925 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 215, 305, 589, 899, 925. So, keep reading to learn more.
Given numbers are 215,305,589,899,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,305,589,899,925 is 41443203275.
Find LCM of 215,305,589,899,925 with Prime Factorization
| 5 | 215, 305, 589, 899, 925 |
| 31 | 43, 61, 589, 899, 185 |
| 43, 61, 19, 29, 185 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 43 x 61 x 19 x 29 x 185 = 41443203275
Therefore, the lowest common multiple of 215,305,589,899,925 is 41443203275.
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.
215 x 305 x 589 x 899 x 925 = 32118482538125
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.
215 : 1, 5, 43, 215
305 : 1, 5, 61, 305
589 : 1, 19, 31, 589
899 : 1, 29, 31, 899
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,305,589,899,925, is 1.
Now, the common factors can be found like this.
215:5x 43
305:5x 61
589:19x 31
899:29x 31
925:5x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 31 = 775
Therefore, the value for common factors is 775.
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 = 32118482538125/(1x775)
LCM = 32118482538125/775
LCM = 41443203275
Thus, we can understand that the LCM of 215,305,589,899,925 is 41443203275.
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FAQs on LCM of 215, 305, 589, 899, 925
1. What is the LCM of 215, 305, 589, 899, 925?
Answer: LCM of 215, 305, 589, 899, 925 is 41443203275.
2. How to calculate the LCM of 215, 305, 589, 899, 925?
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 215, 305, 589, 899, 925.
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}.