LCM of 547, 285, 627, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 547, 285, 627, 825 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, 285, 627, 825. So, keep reading to learn more.
Given numbers are 547,285,627,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,285,627,825 is 8574225.
Find LCM of 547,285,627,825 with Prime Factorization
| 3 | 547, 285, 627, 825 |
| 5 | 547, 95, 209, 275 |
| 11 | 547, 19, 209, 55 |
| 19 | 547, 19, 19, 5 |
| 547, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 19 x 547 x 1 x 1 x 5 = 8574225
Therefore, the lowest common multiple of 547,285,627,825 is 8574225.
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 285 x 627 x 825 = 80640586125
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
285 : 1, 3, 5, 15, 19, 57, 95, 285
627 : 1, 3, 11, 19, 33, 57, 209, 627
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,285,627,825, is 1.
Now, the common factors can be found like this.
547:547
285:3x 5x 19
627:3x 11x 19
825:3x 5x 5x 11
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 5x 11x 19 = 9405
Therefore, the value for common factors is 9405.
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 = 80640586125/(1x9405)
LCM = 80640586125/9405
LCM = 8574225
Thus, we can understand that the LCM of 547,285,627,825 is 8574225.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 547, 285, 627, 825
1. What is the LCM of 547, 285, 627, 825?
Answer: LCM of 547, 285, 627, 825 is 8574225.
2. How to calculate the LCM of 547, 285, 627, 825?
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, 285, 627, 825.
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}.