LCM of 484, 810, 924, 909, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 810, 924, 909, 324 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 484, 810, 924, 909, 324. So, keep reading to learn more.
Given numbers are 484,810,924,909,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,810,924,909,324 is 138586140.
Find LCM of 484,810,924,909,324 with Prime Factorization
| 2 | 484, 810, 924, 909, 324 |
| 2 | 242, 405, 462, 909, 162 |
| 3 | 121, 405, 231, 909, 81 |
| 3 | 121, 135, 77, 303, 27 |
| 3 | 121, 45, 77, 101, 9 |
| 3 | 121, 15, 77, 101, 3 |
| 11 | 121, 5, 77, 101, 1 |
| 11, 5, 7, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 11 x 11 x 5 x 7 x 101 x 1 = 138586140
Therefore, the lowest common multiple of 484,810,924,909,324 is 138586140.
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.
484 x 810 x 924 x 909 x 324 = 106686936639360
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
909 : 1, 3, 9, 101, 303, 909
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,810,924,909,324, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
810:2x 3x 3x 3x 3x 5
924:2x 2x 3x 7x 11
909:3x 3x 101
324:2x 2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 3x 11 = 769824
Therefore, the value for common factors is 769824.
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 = 106686936639360/(1x769824)
LCM = 106686936639360/769824
LCM = 138586140
Thus, we can understand that the LCM of 484,810,924,909,324 is 138586140.
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FAQs on LCM of 484, 810, 924, 909, 324
1. What is the LCM of 484, 810, 924, 909, 324?
Answer: LCM of 484, 810, 924, 909, 324 is 138586140.
2. How to calculate the LCM of 484, 810, 924, 909, 324?
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 484, 810, 924, 909, 324.
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}.