LCM of 132, 333, 514, 588, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 333, 514, 588, 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 132, 333, 514, 588, 231. So, keep reading to learn more.
Given numbers are 132,333,514,588,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,333,514,588,231 is 184512636.
Find LCM of 132,333,514,588,231 with Prime Factorization
| 2 | 132, 333, 514, 588, 231 |
| 2 | 66, 333, 257, 294, 231 |
| 3 | 33, 333, 257, 147, 231 |
| 7 | 11, 111, 257, 49, 77 |
| 11 | 11, 111, 257, 7, 11 |
| 1, 111, 257, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 111 x 257 x 7 x 1 = 184512636
Therefore, the lowest common multiple of 132,333,514,588,231 is 184512636.
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.
132 x 333 x 514 x 588 x 231 = 3068814161952
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
333 : 1, 3, 9, 37, 111, 333
514 : 1, 2, 257, 514
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,333,514,588,231, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
333:3x 3x 37
514:2x 257
588:2x 2x 3x 7x 7
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 2x 2x 3x 3x 3x 7x 11 = 16632
Therefore, the value for common factors is 16632.
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 = 3068814161952/(1x16632)
LCM = 3068814161952/16632
LCM = 184512636
Thus, we can understand that the LCM of 132,333,514,588,231 is 184512636.
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FAQs on LCM of 132, 333, 514, 588, 231
1. What is the LCM of 132, 333, 514, 588, 231?
Answer: LCM of 132, 333, 514, 588, 231 is 184512636.
2. How to calculate the LCM of 132, 333, 514, 588, 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 132, 333, 514, 588, 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}.