LCM of 162, 392, 983, 200, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 392, 983, 200, 161 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 162, 392, 983, 200, 161. So, keep reading to learn more.
Given numbers are 162,392,983,200,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,392,983,200,161 is 17947024200.
Find LCM of 162,392,983,200,161 with Prime Factorization
| 2 | 162, 392, 983, 200, 161 |
| 2 | 81, 196, 983, 100, 161 |
| 2 | 81, 98, 983, 50, 161 |
| 7 | 81, 49, 983, 25, 161 |
| 81, 7, 983, 25, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 81 x 7 x 983 x 25 x 23 = 17947024200
Therefore, the lowest common multiple of 162,392,983,200,161 is 17947024200.
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.
162 x 392 x 983 x 200 x 161 = 2010066710400
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
983 : 1, 983
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,392,983,200,161, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
392:2x 2x 2x 7x 7
983:983
200:2x 2x 2x 5x 5
161:7x 23
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 7 = 112
Therefore, the value for common factors is 112.
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 = 2010066710400/(1x112)
LCM = 2010066710400/112
LCM = 17947024200
Thus, we can understand that the LCM of 162,392,983,200,161 is 17947024200.
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FAQs on LCM of 162, 392, 983, 200, 161
1. What is the LCM of 162, 392, 983, 200, 161?
Answer: LCM of 162, 392, 983, 200, 161 is 17947024200.
2. How to calculate the LCM of 162, 392, 983, 200, 161?
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 162, 392, 983, 200, 161.
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}.