LCM of 215, 216, 723, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 215, 216, 723, 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 215, 216, 723, 105. So, keep reading to learn more.
Given numbers are 215,216,723,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 215,216,723,105 is 78344280.
Find LCM of 215,216,723,105 with Prime Factorization
| 3 | 215, 216, 723, 105 |
| 5 | 215, 72, 241, 35 |
| 43, 72, 241, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 72 x 241 x 7 = 78344280
Therefore, the lowest common multiple of 215,216,723,105 is 78344280.
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.
215 x 216 x 723 x 105 = 3525492600
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.
215 : 1, 5, 43, 215
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
723 : 1, 3, 241, 723
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 215,216,723,105, is 1.
Now, the common factors can be found like this.
215:5x 43
216:2x 2x 2x 3x 3x 3
723:3x 241
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.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 3525492600/(1x45)
LCM = 3525492600/45
LCM = 78344280
Thus, we can understand that the LCM of 215,216,723,105 is 78344280.
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FAQs on LCM of 215, 216, 723, 105
1. What is the LCM of 215, 216, 723, 105?
Answer: LCM of 215, 216, 723, 105 is 78344280.
2. How to calculate the LCM of 215, 216, 723, 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 215, 216, 723, 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}.