LCM of 892, 300, 205, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 300, 205, 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 892, 300, 205, 216. So, keep reading to learn more.
Given numbers are 892,300,205,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,300,205,216 is 49372200.
Find LCM of 892,300,205,216 with Prime Factorization
| 2 | 892, 300, 205, 216 |
| 2 | 446, 150, 205, 108 |
| 3 | 223, 75, 205, 54 |
| 5 | 223, 25, 205, 18 |
| 223, 5, 41, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 223 x 5 x 41 x 18 = 49372200
Therefore, the lowest common multiple of 892,300,205,216 is 49372200.
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.
892 x 300 x 205 x 216 = 11849328000
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.
892 : 1, 2, 4, 223, 446, 892
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
205 : 1, 5, 41, 205
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,300,205,216, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
300:2x 2x 3x 5x 5
205:5x 41
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 11849328000/(1x240)
LCM = 11849328000/240
LCM = 49372200
Thus, we can understand that the LCM of 892,300,205,216 is 49372200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 892, 300, 205, 216
1. What is the LCM of 892, 300, 205, 216?
Answer: LCM of 892, 300, 205, 216 is 49372200.
2. How to calculate the LCM of 892, 300, 205, 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 892, 300, 205, 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}.