LCM of 387, 115, 310, 799, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 115, 310, 799, 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, 115, 310, 799, 459. So, keep reading to learn more.
Given numbers are 387,115,310,799,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,115,310,799,459 is 6614066070.
Find LCM of 387,115,310,799,459 with Prime Factorization
| 3 | 387, 115, 310, 799, 459 |
| 3 | 129, 115, 310, 799, 153 |
| 5 | 43, 115, 310, 799, 51 |
| 17 | 43, 23, 62, 799, 51 |
| 43, 23, 62, 47, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 43 x 23 x 62 x 47 x 3 = 6614066070
Therefore, the lowest common multiple of 387,115,310,799,459 is 6614066070.
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 115 x 310 x 799 x 459 = 5059760543550
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
115 : 1, 5, 23, 115
310 : 1, 2, 5, 10, 31, 62, 155, 310
799 : 1, 17, 47, 799
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 387,115,310,799,459, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
115:5x 23
310:2x 5x 31
799:17x 47
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 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 5059760543550/(1x765)
LCM = 5059760543550/765
LCM = 6614066070
Thus, we can understand that the LCM of 387,115,310,799,459 is 6614066070.
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FAQs on LCM of 387, 115, 310, 799, 459
1. What is the LCM of 387, 115, 310, 799, 459?
Answer: LCM of 387, 115, 310, 799, 459 is 6614066070.
2. How to calculate the LCM of 387, 115, 310, 799, 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, 115, 310, 799, 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}.