LCM of 127, 450, 529, 225, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 450, 529, 225, 519 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 127, 450, 529, 225, 519. So, keep reading to learn more.
Given numbers are 127,450,529,225,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,450,529,225,519 is 5230196550.
Find LCM of 127,450,529,225,519 with Prime Factorization
| 3 | 127, 450, 529, 225, 519 |
| 3 | 127, 150, 529, 75, 173 |
| 5 | 127, 50, 529, 25, 173 |
| 5 | 127, 10, 529, 5, 173 |
| 127, 2, 529, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 5 x 127 x 2 x 529 x 1 x 173 = 5230196550
Therefore, the lowest common multiple of 127,450,529,225,519 is 5230196550.
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.
127 x 450 x 529 x 225 x 519 = 3530382671250
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.
127 : 1, 127
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
529 : 1, 23, 529
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,450,529,225,519, is 1.
Now, the common factors can be found like this.
127:127
450:2x 3x 3x 5x 5
529:23x 23
225:3x 3x 5x 5
519:3x 173
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 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 3530382671250/(1x675)
LCM = 3530382671250/675
LCM = 5230196550
Thus, we can understand that the LCM of 127,450,529,225,519 is 5230196550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 127, 450, 529, 225, 519
1. What is the LCM of 127, 450, 529, 225, 519?
Answer: LCM of 127, 450, 529, 225, 519 is 5230196550.
2. How to calculate the LCM of 127, 450, 529, 225, 519?
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 127, 450, 529, 225, 519.
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}.