LCM of 387, 171, 559, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 171, 559, 459 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 387, 171, 559, 459. So, keep reading to learn more.
Given numbers are 387,171,559,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,171,559,459 is 4875039.
Find LCM of 387,171,559,459 with Prime Factorization
| 3 | 387, 171, 559, 459 |
| 3 | 129, 57, 559, 153 |
| 43 | 43, 19, 559, 51 |
| 1, 19, 13, 51 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 1 x 19 x 13 x 51 = 4875039
Therefore, the lowest common multiple of 387,171,559,459 is 4875039.
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.
387 x 171 x 559 x 459 = 16979760837
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.
387 : 1, 3, 9, 43, 129, 387
171 : 1, 3, 9, 19, 57, 171
559 : 1, 13, 43, 559
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,171,559,459, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
171:3x 3x 19
559:13x 43
459:3x 3x 3x 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 3x 3x 43 = 3483
Therefore, the value for common factors is 3483.
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 = 16979760837/(1x3483)
LCM = 16979760837/3483
LCM = 4875039
Thus, we can understand that the LCM of 387,171,559,459 is 4875039.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 387, 171, 559, 459
1. What is the LCM of 387, 171, 559, 459?
Answer: LCM of 387, 171, 559, 459 is 4875039.
2. How to calculate the LCM of 387, 171, 559, 459?
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 387, 171, 559, 459.
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}.