LCM of 547, 218, 288, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 218, 288, 327 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 547, 218, 288, 327. So, keep reading to learn more.
Given numbers are 547,218,288,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,218,288,327 is 17171424.
Find LCM of 547,218,288,327 with Prime Factorization
| 2 | 547, 218, 288, 327 |
| 3 | 547, 109, 144, 327 |
| 109 | 547, 109, 48, 109 |
| 547, 1, 48, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 547 x 1 x 48 x 1 = 17171424
Therefore, the lowest common multiple of 547,218,288,327 is 17171424.
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.
547 x 218 x 288 x 327 = 11230111296
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.
547 : 1, 547
218 : 1, 2, 109, 218
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,218,288,327, is 1.
Now, the common factors can be found like this.
547:547
218:2x 109
288:2x 2x 2x 2x 2x 3x 3
327:3x 109
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 109 = 654
Therefore, the value for common factors is 654.
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 = 11230111296/(1x654)
LCM = 11230111296/654
LCM = 17171424
Thus, we can understand that the LCM of 547,218,288,327 is 17171424.
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FAQs on LCM of 547, 218, 288, 327
1. What is the LCM of 547, 218, 288, 327?
Answer: LCM of 547, 218, 288, 327 is 17171424.
2. How to calculate the LCM of 547, 218, 288, 327?
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 547, 218, 288, 327.
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}.