LCM of 111, 333, 228, 538, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 333, 228, 538, 627 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 111, 333, 228, 538, 627. So, keep reading to learn more.
Given numbers are 111,333,228,538,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,333,228,538,627 is 74886372.
Find LCM of 111,333,228,538,627 with Prime Factorization
| 2 | 111, 333, 228, 538, 627 |
| 3 | 111, 333, 114, 269, 627 |
| 19 | 37, 111, 38, 269, 209 |
| 37 | 37, 111, 2, 269, 11 |
| 1, 3, 2, 269, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 37 x 1 x 3 x 2 x 269 x 11 = 74886372
Therefore, the lowest common multiple of 111,333,228,538,627 is 74886372.
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.
111 x 333 x 228 x 538 x 627 = 2842836453864
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.
111 : 1, 3, 37, 111
333 : 1, 3, 9, 37, 111, 333
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
538 : 1, 2, 269, 538
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,333,228,538,627, is 1.
Now, the common factors can be found like this.
111:3x 37
333:3x 3x 37
228:2x 2x 3x 19
538:2x 269
627:3x 11x 19
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 3x 3x 19x 37 = 37962
Therefore, the value for common factors is 37962.
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 = 2842836453864/(1x37962)
LCM = 2842836453864/37962
LCM = 74886372
Thus, we can understand that the LCM of 111,333,228,538,627 is 74886372.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 333, 228, 538, 627
1. What is the LCM of 111, 333, 228, 538, 627?
Answer: LCM of 111, 333, 228, 538, 627 is 74886372.
2. How to calculate the LCM of 111, 333, 228, 538, 627?
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 111, 333, 228, 538, 627.
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}.