LCM of 609, 816, 120, 411, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 816, 120, 411, 323 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 609, 816, 120, 411, 323. So, keep reading to learn more.
Given numbers are 609,816,120,411,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,816,120,411,323 is 2155908720.
Find LCM of 609,816,120,411,323 with Prime Factorization
| 2 | 609, 816, 120, 411, 323 |
| 2 | 609, 408, 60, 411, 323 |
| 2 | 609, 204, 30, 411, 323 |
| 3 | 609, 102, 15, 411, 323 |
| 17 | 203, 34, 5, 137, 323 |
| 203, 2, 5, 137, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 203 x 2 x 5 x 137 x 19 = 2155908720
Therefore, the lowest common multiple of 609,816,120,411,323 is 2155908720.
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.
609 x 816 x 120 x 411 x 323 = 7916496819840
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
411 : 1, 3, 137, 411
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,816,120,411,323, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
816:2x 2x 2x 2x 3x 17
120:2x 2x 2x 3x 5
411:3x 137
323:17x 19
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 17 = 3672
Therefore, the value for common factors is 3672.
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 = 7916496819840/(1x3672)
LCM = 7916496819840/3672
LCM = 2155908720
Thus, we can understand that the LCM of 609,816,120,411,323 is 2155908720.
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FAQs on LCM of 609, 816, 120, 411, 323
1. What is the LCM of 609, 816, 120, 411, 323?
Answer: LCM of 609, 816, 120, 411, 323 is 2155908720.
2. How to calculate the LCM of 609, 816, 120, 411, 323?
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 609, 816, 120, 411, 323.
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}.