LCM of 622, 728, 182, 216, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 728, 182, 216, 109 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 622, 728, 182, 216, 109. So, keep reading to learn more.
Given numbers are 622,728,182,216,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,728,182,216,109 is 666318744.
Find LCM of 622,728,182,216,109 with Prime Factorization
| 2 | 622, 728, 182, 216, 109 |
| 2 | 311, 364, 91, 108, 109 |
| 2 | 311, 182, 91, 54, 109 |
| 7 | 311, 91, 91, 27, 109 |
| 13 | 311, 13, 13, 27, 109 |
| 311, 1, 1, 27, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 311 x 1 x 1 x 27 x 109 = 666318744
Therefore, the lowest common multiple of 622,728,182,216,109 is 666318744.
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.
622 x 728 x 182 x 216 x 109 = 1940320182528
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.
622 : 1, 2, 311, 622
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
182 : 1, 2, 7, 13, 14, 26, 91, 182
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,728,182,216,109, is 1.
Now, the common factors can be found like this.
622:2x 311
728:2x 2x 2x 7x 13
182:2x 7x 13
216:2x 2x 2x 3x 3x 3
109:109
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 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 1940320182528/(1x2912)
LCM = 1940320182528/2912
LCM = 666318744
Thus, we can understand that the LCM of 622,728,182,216,109 is 666318744.
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FAQs on LCM of 622, 728, 182, 216, 109
1. What is the LCM of 622, 728, 182, 216, 109?
Answer: LCM of 622, 728, 182, 216, 109 is 666318744.
2. How to calculate the LCM of 622, 728, 182, 216, 109?
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 622, 728, 182, 216, 109.
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}.