LCM of 228, 215, 330, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 215, 330, 989 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 228, 215, 330, 989. So, keep reading to learn more.
Given numbers are 228,215,330,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,215,330,989 is 12402060.
Find LCM of 228,215,330,989 with Prime Factorization
| 2 | 228, 215, 330, 989 |
| 3 | 114, 215, 165, 989 |
| 5 | 38, 215, 55, 989 |
| 43 | 38, 43, 11, 989 |
| 38, 1, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 38 x 1 x 11 x 23 = 12402060
Therefore, the lowest common multiple of 228,215,330,989 is 12402060.
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.
228 x 215 x 330 x 989 = 15998657400
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
215 : 1, 5, 43, 215
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,215,330,989, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
215:5x 43
330:2x 3x 5x 11
989:23x 43
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 5x 43 = 1290
Therefore, the value for common factors is 1290.
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 = 15998657400/(1x1290)
LCM = 15998657400/1290
LCM = 12402060
Thus, we can understand that the LCM of 228,215,330,989 is 12402060.
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FAQs on LCM of 228, 215, 330, 989
1. What is the LCM of 228, 215, 330, 989?
Answer: LCM of 228, 215, 330, 989 is 12402060.
2. How to calculate the LCM of 228, 215, 330, 989?
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 228, 215, 330, 989.
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}.