LCM of 627, 513, 529, 414, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 513, 529, 414, 303 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 627, 513, 529, 414, 303. So, keep reading to learn more.
Given numbers are 627,513,529,414,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,513,529,414,303 is 602999694.
Find LCM of 627,513,529,414,303 with Prime Factorization
| 3 | 627, 513, 529, 414, 303 |
| 3 | 209, 171, 529, 138, 101 |
| 19 | 209, 57, 529, 46, 101 |
| 23 | 11, 3, 529, 46, 101 |
| 11, 3, 23, 2, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 23 x 11 x 3 x 23 x 2 x 101 = 602999694
Therefore, the lowest common multiple of 627,513,529,414,303 is 602999694.
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.
627 x 513 x 529 x 414 x 303 = 21344380168518
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
513 : 1, 3, 9, 19, 27, 57, 171, 513
529 : 1, 23, 529
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,513,529,414,303, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
513:3x 3x 3x 19
529:23x 23
414:2x 3x 3x 23
303:3x 101
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 19x 23 = 35397
Therefore, the value for common factors is 35397.
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 = 21344380168518/(1x35397)
LCM = 21344380168518/35397
LCM = 602999694
Thus, we can understand that the LCM of 627,513,529,414,303 is 602999694.
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FAQs on LCM of 627, 513, 529, 414, 303
1. What is the LCM of 627, 513, 529, 414, 303?
Answer: LCM of 627, 513, 529, 414, 303 is 602999694.
2. How to calculate the LCM of 627, 513, 529, 414, 303?
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 627, 513, 529, 414, 303.
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}.