LCM of 524, 800, 534, 912, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 800, 534, 912, 716 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 524, 800, 534, 912, 716. So, keep reading to learn more.
Given numbers are 524,800,534,912,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,800,534,912,716 is 95165421600.
Find LCM of 524,800,534,912,716 with Prime Factorization
| 2 | 524, 800, 534, 912, 716 |
| 2 | 262, 400, 267, 456, 358 |
| 2 | 131, 200, 267, 228, 179 |
| 2 | 131, 100, 267, 114, 179 |
| 3 | 131, 50, 267, 57, 179 |
| 131, 50, 89, 19, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 131 x 50 x 89 x 19 x 179 = 95165421600
Therefore, the lowest common multiple of 524,800,534,912,716 is 95165421600.
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.
524 x 800 x 534 x 912 x 716 = 146174087577600
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.
524 : 1, 2, 4, 131, 262, 524
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
534 : 1, 2, 3, 6, 89, 178, 267, 534
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
716 : 1, 2, 4, 179, 358, 716
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,800,534,912,716, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
800:2x 2x 2x 2x 2x 5x 5
534:2x 3x 89
912:2x 2x 2x 2x 3x 19
716:2x 2x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 146174087577600/(2x768)
LCM = 146174087577600/1536
LCM = 95165421600
Thus, we can understand that the LCM of 524,800,534,912,716 is 95165421600.
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FAQs on LCM of 524, 800, 534, 912, 716
1. What is the LCM of 524, 800, 534, 912, 716?
Answer: LCM of 524, 800, 534, 912, 716 is 95165421600.
2. How to calculate the LCM of 524, 800, 534, 912, 716?
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 524, 800, 534, 912, 716.
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}.