LCM of 928, 192, 216, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 192, 216, 522 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 928, 192, 216, 522. So, keep reading to learn more.
Given numbers are 928,192,216,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,192,216,522 is 50112.
Find LCM of 928,192,216,522 with Prime Factorization
| 2 | 928, 192, 216, 522 |
| 2 | 464, 96, 108, 261 |
| 2 | 232, 48, 54, 261 |
| 2 | 116, 24, 27, 261 |
| 2 | 58, 12, 27, 261 |
| 3 | 29, 6, 27, 261 |
| 3 | 29, 2, 9, 87 |
| 29 | 29, 2, 3, 29 |
| 1, 2, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 1 x 2 x 3 x 1 = 50112
Therefore, the lowest common multiple of 928,192,216,522 is 50112.
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.
928 x 192 x 216 x 522 = 20089700352
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,192,216,522, is 2.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
192:2x 2x 2x 2x 2x 2x 3
216:2x 2x 2x 3x 3x 3
522:2x 3x 3x 29
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 2x 3x 3x 3x 29 = 200448
Therefore, the value for common factors is 200448.
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 = 20089700352/(2x200448)
LCM = 20089700352/400896
LCM = 50112
Thus, we can understand that the LCM of 928,192,216,522 is 50112.
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FAQs on LCM of 928, 192, 216, 522
1. What is the LCM of 928, 192, 216, 522?
Answer: LCM of 928, 192, 216, 522 is 50112.
2. How to calculate the LCM of 928, 192, 216, 522?
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 928, 192, 216, 522.
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}.