LCM of 233, 487, 189, 633, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 487, 189, 633, 333 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 233, 487, 189, 633, 333. So, keep reading to learn more.
Given numbers are 233,487,189,633,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,487,189,633,333 is 167429070333.
Find LCM of 233,487,189,633,333 with Prime Factorization
| 3 | 233, 487, 189, 633, 333 |
| 3 | 233, 487, 63, 211, 111 |
| 233, 487, 21, 211, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 233 x 487 x 21 x 211 x 37 = 167429070333
Therefore, the lowest common multiple of 233,487,189,633,333 is 167429070333.
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.
233 x 487 x 189 x 633 x 333 = 4520584898991
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.
233 : 1, 233
487 : 1, 487
189 : 1, 3, 7, 9, 21, 27, 63, 189
633 : 1, 3, 211, 633
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,487,189,633,333, is 1.
Now, the common factors can be found like this.
233:233
487:487
189:3x 3x 3x 7
633:3x 211
333:3x 3x 37
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 3 = 27
Therefore, the value for common factors is 27.
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 = 4520584898991/(1x27)
LCM = 4520584898991/27
LCM = 167429070333
Thus, we can understand that the LCM of 233,487,189,633,333 is 167429070333.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 487, 189, 633, 333
1. What is the LCM of 233, 487, 189, 633, 333?
Answer: LCM of 233, 487, 189, 633, 333 is 167429070333.
2. How to calculate the LCM of 233, 487, 189, 633, 333?
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 233, 487, 189, 633, 333.
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}.