LCM of 281, 745, 729, 342, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 745, 729, 342, 517 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 281, 745, 729, 342, 517. So, keep reading to learn more.
Given numbers are 281,745,729,342,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,745,729,342,517 is 2998225273230.
Find LCM of 281,745,729,342,517 with Prime Factorization
| 3 | 281, 745, 729, 342, 517 |
| 3 | 281, 745, 243, 114, 517 |
| 281, 745, 81, 38, 517 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 281 x 745 x 81 x 38 x 517 = 2998225273230
Therefore, the lowest common multiple of 281,745,729,342,517 is 2998225273230.
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.
281 x 745 x 729 x 342 x 517 = 26984027459070
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.
281 : 1, 281
745 : 1, 5, 149, 745
729 : 1, 3, 9, 27, 81, 243, 729
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,745,729,342,517, is 1.
Now, the common factors can be found like this.
281:281
745:5x 149
729:3x 3x 3x 3x 3x 3
342:2x 3x 3x 19
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 26984027459070/(1x9)
LCM = 26984027459070/9
LCM = 2998225273230
Thus, we can understand that the LCM of 281,745,729,342,517 is 2998225273230.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 281, 745, 729, 342, 517
1. What is the LCM of 281, 745, 729, 342, 517?
Answer: LCM of 281, 745, 729, 342, 517 is 2998225273230.
2. How to calculate the LCM of 281, 745, 729, 342, 517?
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 281, 745, 729, 342, 517.
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}.