LCM of 522, 135, 126, 216, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 522, 135, 126, 216, 612 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 522, 135, 126, 216, 612. So, keep reading to learn more.
Given numbers are 522,135,126,216,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,135,126,216,612 is 3727080.
Find LCM of 522,135,126,216,612 with Prime Factorization
| 2 | 522, 135, 126, 216, 612 |
| 2 | 261, 135, 63, 108, 306 |
| 3 | 261, 135, 63, 54, 153 |
| 3 | 87, 45, 21, 18, 51 |
| 3 | 29, 15, 7, 6, 17 |
| 29, 5, 7, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 29 x 5 x 7 x 2 x 17 = 3727080
Therefore, the lowest common multiple of 522,135,126,216,612 is 3727080.
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.
522 x 135 x 126 x 216 x 612 = 1173761850240
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
135 : 1, 3, 5, 9, 15, 27, 45, 135
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,135,126,216,612, is 9.
Now, the common factors can be found like this.
522:2x 3x 3x 29
135:3x 3x 3x 5
126:2x 3x 3x 7
216:2x 2x 2x 3x 3x 3
612:2x 2x 3x 3x 17
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 3x 3x 3x 3x 3x 3x 3 = 34992
Therefore, the value for common factors is 34992.
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 = 1173761850240/(9x34992)
LCM = 1173761850240/314928
LCM = 3727080
Thus, we can understand that the LCM of 522,135,126,216,612 is 3727080.
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FAQs on LCM of 522, 135, 126, 216, 612
1. What is the LCM of 522, 135, 126, 216, 612?
Answer: LCM of 522, 135, 126, 216, 612 is 3727080.
2. How to calculate the LCM of 522, 135, 126, 216, 612?
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 522, 135, 126, 216, 612.
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}.