LCM of 216, 180, 464, 684, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 180, 464, 684, 185 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 216, 180, 464, 684, 185. So, keep reading to learn more.
Given numbers are 216,180,464,684,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,180,464,684,185 is 44035920.
Find LCM of 216,180,464,684,185 with Prime Factorization
| 2 | 216, 180, 464, 684, 185 |
| 2 | 108, 90, 232, 342, 185 |
| 2 | 54, 45, 116, 171, 185 |
| 3 | 27, 45, 58, 171, 185 |
| 3 | 9, 15, 58, 57, 185 |
| 5 | 3, 5, 58, 19, 185 |
| 3, 1, 58, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 3 x 1 x 58 x 19 x 37 = 44035920
Therefore, the lowest common multiple of 216,180,464,684,185 is 44035920.
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.
216 x 180 x 464 x 684 x 185 = 2282822092800
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,180,464,684,185, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
180:2x 2x 3x 3x 5
464:2x 2x 2x 2x 29
684:2x 2x 3x 3x 19
185:5x 37
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 3x 3x 5 = 51840
Therefore, the value for common factors is 51840.
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 = 2282822092800/(1x51840)
LCM = 2282822092800/51840
LCM = 44035920
Thus, we can understand that the LCM of 216,180,464,684,185 is 44035920.
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FAQs on LCM of 216, 180, 464, 684, 185
1. What is the LCM of 216, 180, 464, 684, 185?
Answer: LCM of 216, 180, 464, 684, 185 is 44035920.
2. How to calculate the LCM of 216, 180, 464, 684, 185?
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 216, 180, 464, 684, 185.
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}.