LCM of 405, 143, 522, 324, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 143, 522, 324, 784 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 405, 143, 522, 324, 784. So, keep reading to learn more.
Given numbers are 405,143,522,324,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,143,522,324,784 is 1316755440.
Find LCM of 405,143,522,324,784 with Prime Factorization
| 2 | 405, 143, 522, 324, 784 |
| 2 | 405, 143, 261, 162, 392 |
| 3 | 405, 143, 261, 81, 196 |
| 3 | 135, 143, 87, 27, 196 |
| 3 | 45, 143, 29, 9, 196 |
| 3 | 15, 143, 29, 3, 196 |
| 5, 143, 29, 1, 196 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 5 x 143 x 29 x 1 x 196 = 1316755440
Therefore, the lowest common multiple of 405,143,522,324,784 is 1316755440.
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.
405 x 143 x 522 x 324 x 784 = 7679317726080
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
143 : 1, 11, 13, 143
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,143,522,324,784, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
143:11x 13
522:2x 3x 3x 29
324:2x 2x 3x 3x 3x 3
784:2x 2x 2x 2x 7x 7
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 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 7679317726080/(1x5832)
LCM = 7679317726080/5832
LCM = 1316755440
Thus, we can understand that the LCM of 405,143,522,324,784 is 1316755440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 143, 522, 324, 784
1. What is the LCM of 405, 143, 522, 324, 784?
Answer: LCM of 405, 143, 522, 324, 784 is 1316755440.
2. How to calculate the LCM of 405, 143, 522, 324, 784?
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 405, 143, 522, 324, 784.
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}.