LCM of 172, 648, 106, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 648, 106, 214 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 172, 648, 106, 214. So, keep reading to learn more.
Given numbers are 172,648,106,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,648,106,214 is 158016744.
Find LCM of 172,648,106,214 with Prime Factorization
| 2 | 172, 648, 106, 214 |
| 2 | 86, 324, 53, 107 |
| 43, 162, 53, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 162 x 53 x 107 = 158016744
Therefore, the lowest common multiple of 172,648,106,214 is 158016744.
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.
172 x 648 x 106 x 214 = 2528267904
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.
172 : 1, 2, 4, 43, 86, 172
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
106 : 1, 2, 53, 106
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,648,106,214, is 2.
Now, the common factors can be found like this.
172:2x 2x 43
648:2x 2x 2x 3x 3x 3x 3
106:2x 53
214:2x 107
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 2 = 8
Therefore, the value for common factors is 8.
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 = 2528267904/(2x8)
LCM = 2528267904/16
LCM = 158016744
Thus, we can understand that the LCM of 172,648,106,214 is 158016744.
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FAQs on LCM of 172, 648, 106, 214
1. What is the LCM of 172, 648, 106, 214?
Answer: LCM of 172, 648, 106, 214 is 158016744.
2. How to calculate the LCM of 172, 648, 106, 214?
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 172, 648, 106, 214.
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}.