LCM of 513, 793, 800, 234, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 793, 800, 234, 693 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 513, 793, 800, 234, 693. So, keep reading to learn more.
Given numbers are 513,793,800,234,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,793,800,234,693 is 25059434400.
Find LCM of 513,793,800,234,693 with Prime Factorization
| 2 | 513, 793, 800, 234, 693 |
| 3 | 513, 793, 400, 117, 693 |
| 3 | 171, 793, 400, 39, 231 |
| 13 | 57, 793, 400, 13, 77 |
| 57, 61, 400, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 57 x 61 x 400 x 1 x 77 = 25059434400
Therefore, the lowest common multiple of 513,793,800,234,693 is 25059434400.
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.
513 x 793 x 800 x 234 x 693 = 52775168846400
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
793 : 1, 13, 61, 793
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,793,800,234,693, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
793:13x 61
800:2x 2x 2x 2x 2x 5x 5
234:2x 3x 3x 13
693:3x 3x 7x 11
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 13 = 2106
Therefore, the value for common factors is 2106.
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 = 52775168846400/(1x2106)
LCM = 52775168846400/2106
LCM = 25059434400
Thus, we can understand that the LCM of 513,793,800,234,693 is 25059434400.
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FAQs on LCM of 513, 793, 800, 234, 693
1. What is the LCM of 513, 793, 800, 234, 693?
Answer: LCM of 513, 793, 800, 234, 693 is 25059434400.
2. How to calculate the LCM of 513, 793, 800, 234, 693?
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 513, 793, 800, 234, 693.
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}.