LCM of 489, 126, 132, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 126, 132, 231 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 489, 126, 132, 231. So, keep reading to learn more.
Given numbers are 489,126,132,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,126,132,231 is 451836.
Find LCM of 489,126,132,231 with Prime Factorization
| 2 | 489, 126, 132, 231 |
| 3 | 489, 63, 66, 231 |
| 7 | 163, 21, 22, 77 |
| 11 | 163, 3, 22, 11 |
| 163, 3, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 163 x 3 x 2 x 1 = 451836
Therefore, the lowest common multiple of 489,126,132,231 is 451836.
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.
489 x 126 x 132 x 231 = 1878734088
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.
489 : 1, 3, 163, 489
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
231 : 1, 3, 7, 11, 21, 33, 77, 231
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,126,132,231, is 3.
Now, the common factors can be found like this.
489:3x 163
126:2x 3x 3x 7
132:2x 2x 3x 11
231:3x 7x 11
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 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 1878734088/(3x1386)
LCM = 1878734088/4158
LCM = 451836
Thus, we can understand that the LCM of 489,126,132,231 is 451836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 126, 132, 231
1. What is the LCM of 489, 126, 132, 231?
Answer: LCM of 489, 126, 132, 231 is 451836.
2. How to calculate the LCM of 489, 126, 132, 231?
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 489, 126, 132, 231.
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}.