LCM of 456, 206, 324, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 206, 324, 216 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 456, 206, 324, 216. So, keep reading to learn more.
Given numbers are 456,206,324,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,206,324,216 is 1268136.
Find LCM of 456,206,324,216 with Prime Factorization
| 2 | 456, 206, 324, 216 |
| 2 | 228, 103, 162, 108 |
| 2 | 114, 103, 81, 54 |
| 3 | 57, 103, 81, 27 |
| 3 | 19, 103, 9, 27 |
| 3 | 19, 103, 3, 9 |
| 19, 103, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 19 x 103 x 1 x 3 = 1268136
Therefore, the lowest common multiple of 456,206,324,216 is 1268136.
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.
456 x 206 x 324 x 216 = 6574017024
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
206 : 1, 2, 103, 206
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,206,324,216, is 2.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
206:2x 103
324:2x 2x 3x 3x 3x 3
216:2x 2x 2x 3x 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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 6574017024/(2x2592)
LCM = 6574017024/5184
LCM = 1268136
Thus, we can understand that the LCM of 456,206,324,216 is 1268136.
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FAQs on LCM of 456, 206, 324, 216
1. What is the LCM of 456, 206, 324, 216?
Answer: LCM of 456, 206, 324, 216 is 1268136.
2. How to calculate the LCM of 456, 206, 324, 216?
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 456, 206, 324, 216.
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}.