LCM of 514, 405, 747, 960, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 405, 747, 960, 921 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 514, 405, 747, 960, 921. So, keep reading to learn more.
Given numbers are 514,405,747,960,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,405,747,960,921 is 169740152640.
Find LCM of 514,405,747,960,921 with Prime Factorization
| 2 | 514, 405, 747, 960, 921 |
| 3 | 257, 405, 747, 480, 921 |
| 3 | 257, 135, 249, 160, 307 |
| 5 | 257, 45, 83, 160, 307 |
| 257, 9, 83, 32, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 257 x 9 x 83 x 32 x 307 = 169740152640
Therefore, the lowest common multiple of 514,405,747,960,921 is 169740152640.
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.
514 x 405 x 747 x 960 x 921 = 137489523638400
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.
514 : 1, 2, 257, 514
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
747 : 1, 3, 9, 83, 249, 747
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,405,747,960,921, is 1.
Now, the common factors can be found like this.
514:2x 257
405:3x 3x 3x 3x 5
747:3x 3x 83
960:2x 2x 2x 2x 2x 2x 3x 5
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 137489523638400/(1x810)
LCM = 137489523638400/810
LCM = 169740152640
Thus, we can understand that the LCM of 514,405,747,960,921 is 169740152640.
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FAQs on LCM of 514, 405, 747, 960, 921
1. What is the LCM of 514, 405, 747, 960, 921?
Answer: LCM of 514, 405, 747, 960, 921 is 169740152640.
2. How to calculate the LCM of 514, 405, 747, 960, 921?
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 514, 405, 747, 960, 921.
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}.