LCM of 591, 945, 216, 285, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 945, 216, 285, 840 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 591, 945, 216, 285, 840. So, keep reading to learn more.
Given numbers are 591,945,216,285,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,945,216,285,840 is 28297080.
Find LCM of 591,945,216,285,840 with Prime Factorization
| 2 | 591, 945, 216, 285, 840 |
| 2 | 591, 945, 108, 285, 420 |
| 2 | 591, 945, 54, 285, 210 |
| 3 | 591, 945, 27, 285, 105 |
| 3 | 197, 315, 9, 95, 35 |
| 3 | 197, 105, 3, 95, 35 |
| 5 | 197, 35, 1, 95, 35 |
| 7 | 197, 7, 1, 19, 7 |
| 197, 1, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 197 x 1 x 1 x 19 x 1 = 28297080
Therefore, the lowest common multiple of 591,945,216,285,840 is 28297080.
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.
591 x 945 x 216 x 285 x 840 = 28879999848000
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.
591 : 1, 3, 197, 591
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
285 : 1, 3, 5, 15, 19, 57, 95, 285
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,945,216,285,840, is 3.
Now, the common factors can be found like this.
591:3x 197
945:3x 3x 3x 5x 7
216:2x 2x 2x 3x 3x 3
285:3x 5x 19
840:2x 2x 2x 3x 5x 7
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 3x 3x 3x 3x 3x 5x 5x 7 = 340200
Therefore, the value for common factors is 340200.
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 = 28879999848000/(3x340200)
LCM = 28879999848000/1020600
LCM = 28297080
Thus, we can understand that the LCM of 591,945,216,285,840 is 28297080.
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FAQs on LCM of 591, 945, 216, 285, 840
1. What is the LCM of 591, 945, 216, 285, 840?
Answer: LCM of 591, 945, 216, 285, 840 is 28297080.
2. How to calculate the LCM of 591, 945, 216, 285, 840?
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 591, 945, 216, 285, 840.
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}.