LCM of 162, 192, 214, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 192, 214, 576 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 162, 192, 214, 576. So, keep reading to learn more.
Given numbers are 162,192,214,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,192,214,576 is 554688.
Find LCM of 162,192,214,576 with Prime Factorization
| 2 | 162, 192, 214, 576 |
| 2 | 81, 96, 107, 288 |
| 2 | 81, 48, 107, 144 |
| 2 | 81, 24, 107, 72 |
| 2 | 81, 12, 107, 36 |
| 2 | 81, 6, 107, 18 |
| 3 | 81, 3, 107, 9 |
| 3 | 27, 1, 107, 3 |
| 9, 1, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 9 x 1 x 107 x 1 = 554688
Therefore, the lowest common multiple of 162,192,214,576 is 554688.
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.
162 x 192 x 214 x 576 = 3834003456
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
214 : 1, 2, 107, 214
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,192,214,576, is 2.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
192:2x 2x 2x 2x 2x 2x 3
214:2x 107
576:2x 2x 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 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 3834003456/(2x3456)
LCM = 3834003456/6912
LCM = 554688
Thus, we can understand that the LCM of 162,192,214,576 is 554688.
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FAQs on LCM of 162, 192, 214, 576
1. What is the LCM of 162, 192, 214, 576?
Answer: LCM of 162, 192, 214, 576 is 554688.
2. How to calculate the LCM of 162, 192, 214, 576?
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 162, 192, 214, 576.
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}.