LCM of 547, 547, 990, 825, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 547, 990, 825, 218 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, 547, 990, 825, 218. So, keep reading to learn more.
Given numbers are 547,547,990,825,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,547,990,825,218 is 295133850.
Find LCM of 547,547,990,825,218 with Prime Factorization
| 2 | 547, 547, 990, 825, 218 |
| 3 | 547, 547, 495, 825, 109 |
| 5 | 547, 547, 165, 275, 109 |
| 11 | 547, 547, 33, 55, 109 |
| 547 | 547, 547, 3, 5, 109 |
| 1, 1, 3, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 547 x 1 x 1 x 3 x 5 x 109 = 295133850
Therefore, the lowest common multiple of 547,547,990,825,218 is 295133850.
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 547 x 990 x 825 x 218 = 53274611263500
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
547 : 1, 547
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,547,990,825,218, is 1.
Now, the common factors can be found like this.
547:547
547:547
990:2x 3x 3x 5x 11
825:3x 5x 5x 11
218:2x 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 5x 11x 547 = 180510
Therefore, the value for common factors is 180510.
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 = 53274611263500/(1x180510)
LCM = 53274611263500/180510
LCM = 295133850
Thus, we can understand that the LCM of 547,547,990,825,218 is 295133850.
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FAQs on LCM of 547, 547, 990, 825, 218
1. What is the LCM of 547, 547, 990, 825, 218?
Answer: LCM of 547, 547, 990, 825, 218 is 295133850.
2. How to calculate the LCM of 547, 547, 990, 825, 218?
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, 547, 990, 825, 218.
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}.