LCM of 629, 515, 515, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 515, 515, 527 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 629, 515, 515, 527. So, keep reading to learn more.
Given numbers are 629,515,515,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,515,515,527 is 10041985.
Find LCM of 629,515,515,527 with Prime Factorization
| 5 | 629, 515, 515, 527 |
| 17 | 629, 103, 103, 527 |
| 103 | 37, 103, 103, 31 |
| 37, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 103 x 37 x 1 x 1 x 31 = 10041985
Therefore, the lowest common multiple of 629,515,515,527 is 10041985.
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.
629 x 515 x 515 x 527 = 87917578675
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.
629 : 1, 17, 37, 629
515 : 1, 5, 103, 515
515 : 1, 5, 103, 515
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,515,515,527, is 1.
Now, the common factors can be found like this.
629:17x 37
515:5x 103
515:5x 103
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 103 = 8755
Therefore, the value for common factors is 8755.
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 = 87917578675/(1x8755)
LCM = 87917578675/8755
LCM = 10041985
Thus, we can understand that the LCM of 629,515,515,527 is 10041985.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 629, 515, 515, 527
1. What is the LCM of 629, 515, 515, 527?
Answer: LCM of 629, 515, 515, 527 is 10041985.
2. How to calculate the LCM of 629, 515, 515, 527?
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 629, 515, 515, 527.
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}.