LCM of 231, 408, 273, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 408, 273, 663 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 231, 408, 273, 663. So, keep reading to learn more.
Given numbers are 231,408,273,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,408,273,663 is 408408.
Find LCM of 231,408,273,663 with Prime Factorization
| 3 | 231, 408, 273, 663 |
| 7 | 77, 136, 91, 221 |
| 13 | 11, 136, 13, 221 |
| 17 | 11, 136, 1, 17 |
| 11, 8, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 17 x 11 x 8 x 1 x 1 = 408408
Therefore, the lowest common multiple of 231,408,273,663 is 408408.
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.
231 x 408 x 273 x 663 = 17058793752
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
273 : 1, 3, 7, 13, 21, 39, 91, 273
663 : 1, 3, 13, 17, 39, 51, 221, 663
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,408,273,663, is 3.
Now, the common factors can be found like this.
231:3x 7x 11
408:2x 2x 2x 3x 17
273:3x 7x 13
663:3x 13x 17
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 7x 13x 17 = 13923
Therefore, the value for common factors is 13923.
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 = 17058793752/(3x13923)
LCM = 17058793752/41769
LCM = 408408
Thus, we can understand that the LCM of 231,408,273,663 is 408408.
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FAQs on LCM of 231, 408, 273, 663
1. What is the LCM of 231, 408, 273, 663?
Answer: LCM of 231, 408, 273, 663 is 408408.
2. How to calculate the LCM of 231, 408, 273, 663?
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 231, 408, 273, 663.
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}.