LCM of 573, 576, 432, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 576, 432, 394 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 573, 576, 432, 394. So, keep reading to learn more.
Given numbers are 573,576,432,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,576,432,394 is 65019456.
Find LCM of 573,576,432,394 with Prime Factorization
| 2 | 573, 576, 432, 394 |
| 2 | 573, 288, 216, 197 |
| 2 | 573, 144, 108, 197 |
| 2 | 573, 72, 54, 197 |
| 3 | 573, 36, 27, 197 |
| 3 | 191, 12, 9, 197 |
| 191, 4, 3, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 191 x 4 x 3 x 197 = 65019456
Therefore, the lowest common multiple of 573,576,432,394 is 65019456.
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.
573 x 576 x 432 x 394 = 56176809984
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.
573 : 1, 3, 191, 573
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,576,432,394, is 1.
Now, the common factors can be found like this.
573:3x 191
576:2x 2x 2x 2x 2x 2x 3x 3
432:2x 2x 2x 2x 3x 3x 3
394:2x 197
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 3 = 864
Therefore, the value for common factors is 864.
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 = 56176809984/(1x864)
LCM = 56176809984/864
LCM = 65019456
Thus, we can understand that the LCM of 573,576,432,394 is 65019456.
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FAQs on LCM of 573, 576, 432, 394
1. What is the LCM of 573, 576, 432, 394?
Answer: LCM of 573, 576, 432, 394 is 65019456.
2. How to calculate the LCM of 573, 576, 432, 394?
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 573, 576, 432, 394.
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}.