LCM of 527, 415, 903, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 415, 903, 309 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 527, 415, 903, 309. So, keep reading to learn more.
Given numbers are 527,415,903,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,415,903,309 is 20341533345.
Find LCM of 527,415,903,309 with Prime Factorization
| 3 | 527, 415, 903, 309 |
| 527, 415, 301, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 527 x 415 x 301 x 103 = 20341533345
Therefore, the lowest common multiple of 527,415,903,309 is 20341533345.
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.
527 x 415 x 903 x 309 = 61024600035
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.
527 : 1, 17, 31, 527
415 : 1, 5, 83, 415
903 : 1, 3, 7, 21, 43, 129, 301, 903
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,415,903,309, is 1.
Now, the common factors can be found like this.
527:17x 31
415:5x 83
903:3x 7x 43
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 61024600035/(1x3)
LCM = 61024600035/3
LCM = 20341533345
Thus, we can understand that the LCM of 527,415,903,309 is 20341533345.
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FAQs on LCM of 527, 415, 903, 309
1. What is the LCM of 527, 415, 903, 309?
Answer: LCM of 527, 415, 903, 309 is 20341533345.
2. How to calculate the LCM of 527, 415, 903, 309?
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 527, 415, 903, 309.
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}.