LCM of 422, 126, 812, 181, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 126, 812, 181, 168 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 422, 126, 812, 181, 168. So, keep reading to learn more.
Given numbers are 422,126,812,181,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,126,812,181,168 is 558199656.
Find LCM of 422,126,812,181,168 with Prime Factorization
| 2 | 422, 126, 812, 181, 168 |
| 2 | 211, 63, 406, 181, 84 |
| 3 | 211, 63, 203, 181, 42 |
| 7 | 211, 21, 203, 181, 14 |
| 211, 3, 29, 181, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 211 x 3 x 29 x 181 x 2 = 558199656
Therefore, the lowest common multiple of 422,126,812,181,168 is 558199656.
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.
422 x 126 x 812 x 181 x 168 = 1312885590912
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.
422 : 1, 2, 211, 422
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
181 : 1, 181
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,126,812,181,168, is 1.
Now, the common factors can be found like this.
422:2x 211
126:2x 3x 3x 7
812:2x 2x 7x 29
181:181
168:2x 2x 2x 3x 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 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 1312885590912/(1x2352)
LCM = 1312885590912/2352
LCM = 558199656
Thus, we can understand that the LCM of 422,126,812,181,168 is 558199656.
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FAQs on LCM of 422, 126, 812, 181, 168
1. What is the LCM of 422, 126, 812, 181, 168?
Answer: LCM of 422, 126, 812, 181, 168 is 558199656.
2. How to calculate the LCM of 422, 126, 812, 181, 168?
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 422, 126, 812, 181, 168.
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}.