LCM of 524, 405, 864, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 405, 864, 314 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, 405, 864, 314. So, keep reading to learn more.
Given numbers are 524,405,864,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,405,864,314 is 266548320.
Find LCM of 524,405,864,314 with Prime Factorization
| 2 | 524, 405, 864, 314 |
| 2 | 262, 405, 432, 157 |
| 3 | 131, 405, 216, 157 |
| 3 | 131, 135, 72, 157 |
| 3 | 131, 45, 24, 157 |
| 131, 15, 8, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 131 x 15 x 8 x 157 = 266548320
Therefore, the lowest common multiple of 524,405,864,314 is 266548320.
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 405 x 864 x 314 = 57574437120
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
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,405,864,314, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
405:3x 3x 3x 3x 5
864:2x 2x 2x 2x 2x 3x 3x 3
314:2x 157
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 57574437120/(1x216)
LCM = 57574437120/216
LCM = 266548320
Thus, we can understand that the LCM of 524,405,864,314 is 266548320.
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FAQs on LCM of 524, 405, 864, 314
1. What is the LCM of 524, 405, 864, 314?
Answer: LCM of 524, 405, 864, 314 is 266548320.
2. How to calculate the LCM of 524, 405, 864, 314?
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, 405, 864, 314.
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}.