LCM of 494, 324, 256, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 324, 256, 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 494, 324, 256, 144. So, keep reading to learn more.
Given numbers are 494,324,256,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,324,256,144 is 5121792.
Find LCM of 494,324,256,144 with Prime Factorization
| 2 | 494, 324, 256, 144 |
| 2 | 247, 162, 128, 72 |
| 2 | 247, 81, 64, 36 |
| 2 | 247, 81, 32, 18 |
| 3 | 247, 81, 16, 9 |
| 3 | 247, 27, 16, 3 |
| 247, 9, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 247 x 9 x 16 x 1 = 5121792
Therefore, the lowest common multiple of 494,324,256,144 is 5121792.
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.
494 x 324 x 256 x 144 = 5900304384
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,324,256,144, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
324:2x 2x 3x 3x 3x 3
256:2x 2x 2x 2x 2x 2x 2x 2
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 3 = 576
Therefore, the value for common factors is 576.
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 = 5900304384/(2x576)
LCM = 5900304384/1152
LCM = 5121792
Thus, we can understand that the LCM of 494,324,256,144 is 5121792.
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FAQs on LCM of 494, 324, 256, 144
1. What is the LCM of 494, 324, 256, 144?
Answer: LCM of 494, 324, 256, 144 is 5121792.
2. How to calculate the LCM of 494, 324, 256, 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 494, 324, 256, 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}.