LCM of 900, 387, 927, 189, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 387, 927, 189, 215 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 900, 387, 927, 189, 215. So, keep reading to learn more.
Given numbers are 900,387,927,189,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,387,927,189,215 is 83708100.
Find LCM of 900,387,927,189,215 with Prime Factorization
| 3 | 900, 387, 927, 189, 215 |
| 3 | 300, 129, 309, 63, 215 |
| 5 | 100, 43, 103, 21, 215 |
| 43 | 20, 43, 103, 21, 43 |
| 20, 1, 103, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 43 x 20 x 1 x 103 x 21 x 1 = 83708100
Therefore, the lowest common multiple of 900,387,927,189,215 is 83708100.
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.
900 x 387 x 927 x 189 x 215 = 13119989053500
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
387 : 1, 3, 9, 43, 129, 387
927 : 1, 3, 9, 103, 309, 927
189 : 1, 3, 7, 9, 21, 27, 63, 189
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,387,927,189,215, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
387:3x 3x 43
927:3x 3x 103
189:3x 3x 3x 7
215:5x 43
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 3x 3x 5x 43 = 156735
Therefore, the value for common factors is 156735.
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 = 13119989053500/(1x156735)
LCM = 13119989053500/156735
LCM = 83708100
Thus, we can understand that the LCM of 900,387,927,189,215 is 83708100.
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FAQs on LCM of 900, 387, 927, 189, 215
1. What is the LCM of 900, 387, 927, 189, 215?
Answer: LCM of 900, 387, 927, 189, 215 is 83708100.
2. How to calculate the LCM of 900, 387, 927, 189, 215?
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 900, 387, 927, 189, 215.
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}.