LCM of 509, 422, 198, 576, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 422, 198, 576, 144 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 509, 422, 198, 576, 144. So, keep reading to learn more.
Given numbers are 509,422,198,576,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,422,198,576,144 is 680480064.
Find LCM of 509,422,198,576,144 with Prime Factorization
| 2 | 509, 422, 198, 576, 144 |
| 2 | 509, 211, 99, 288, 72 |
| 2 | 509, 211, 99, 144, 36 |
| 2 | 509, 211, 99, 72, 18 |
| 3 | 509, 211, 99, 36, 9 |
| 3 | 509, 211, 33, 12, 3 |
| 509, 211, 11, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 509 x 211 x 11 x 4 x 1 = 680480064
Therefore, the lowest common multiple of 509,422,198,576,144 is 680480064.
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.
509 x 422 x 198 x 576 x 144 = 3527608651776
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.
509 : 1, 509
422 : 1, 2, 211, 422
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,422,198,576,144, is 1.
Now, the common factors can be found like this.
509:509
422:2x 211
198:2x 3x 3x 11
576:2x 2x 2x 2x 2x 2x 3x 3
144:2x 2x 2x 2x 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 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 3527608651776/(1x5184)
LCM = 3527608651776/5184
LCM = 680480064
Thus, we can understand that the LCM of 509,422,198,576,144 is 680480064.
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FAQs on LCM of 509, 422, 198, 576, 144
1. What is the LCM of 509, 422, 198, 576, 144?
Answer: LCM of 509, 422, 198, 576, 144 is 680480064.
2. How to calculate the LCM of 509, 422, 198, 576, 144?
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 509, 422, 198, 576, 144.
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}.