LCM of 216, 912, 190, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 912, 190, 105 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, 912, 190, 105. So, keep reading to learn more.
Given numbers are 216,912,190,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,912,190,105 is 287280.
Find LCM of 216,912,190,105 with Prime Factorization
| 2 | 216, 912, 190, 105 |
| 2 | 108, 456, 95, 105 |
| 2 | 54, 228, 95, 105 |
| 3 | 27, 114, 95, 105 |
| 5 | 9, 38, 95, 35 |
| 19 | 9, 38, 19, 7 |
| 9, 2, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 9 x 2 x 1 x 7 = 287280
Therefore, the lowest common multiple of 216,912,190,105 is 287280.
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 912 x 190 x 105 = 3929990400
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
190 : 1, 2, 5, 10, 19, 38, 95, 190
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,912,190,105, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
912:2x 2x 2x 2x 3x 19
190:2x 5x 19
105:3x 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 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 3929990400/(1x13680)
LCM = 3929990400/13680
LCM = 287280
Thus, we can understand that the LCM of 216,912,190,105 is 287280.
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FAQs on LCM of 216, 912, 190, 105
1. What is the LCM of 216, 912, 190, 105?
Answer: LCM of 216, 912, 190, 105 is 287280.
2. How to calculate the LCM of 216, 912, 190, 105?
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, 912, 190, 105.
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}.