LCM of 492, 289, 324, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 289, 324, 405 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 492, 289, 324, 405. So, keep reading to learn more.
Given numbers are 492,289,324,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,289,324,405 is 19195380.
Find LCM of 492,289,324,405 with Prime Factorization
| 2 | 492, 289, 324, 405 |
| 2 | 246, 289, 162, 405 |
| 3 | 123, 289, 81, 405 |
| 3 | 41, 289, 27, 135 |
| 3 | 41, 289, 9, 45 |
| 3 | 41, 289, 3, 15 |
| 41, 289, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 41 x 289 x 1 x 5 = 19195380
Therefore, the lowest common multiple of 492,289,324,405 is 19195380.
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.
492 x 289 x 324 x 405 = 18657909360
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
289 : 1, 17, 289
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,289,324,405, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
289:17x 17
324:2x 2x 3x 3x 3x 3
405:3x 3x 3x 3x 5
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 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 18657909360/(1x972)
LCM = 18657909360/972
LCM = 19195380
Thus, we can understand that the LCM of 492,289,324,405 is 19195380.
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FAQs on LCM of 492, 289, 324, 405
1. What is the LCM of 492, 289, 324, 405?
Answer: LCM of 492, 289, 324, 405 is 19195380.
2. How to calculate the LCM of 492, 289, 324, 405?
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 492, 289, 324, 405.
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}.