LCM of 153, 396, 190, 968, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 396, 190, 968, 227 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 153, 396, 190, 968, 227. So, keep reading to learn more.
Given numbers are 153,396,190,968,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,396,190,968,227 is 3193862760.
Find LCM of 153,396,190,968,227 with Prime Factorization
| 2 | 153, 396, 190, 968, 227 |
| 2 | 153, 198, 95, 484, 227 |
| 3 | 153, 99, 95, 242, 227 |
| 3 | 51, 33, 95, 242, 227 |
| 11 | 17, 11, 95, 242, 227 |
| 17, 1, 95, 22, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 1 x 95 x 22 x 227 = 3193862760
Therefore, the lowest common multiple of 153,396,190,968,227 is 3193862760.
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.
153 x 396 x 190 x 968 x 227 = 2529539305920
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.
153 : 1, 3, 9, 17, 51, 153
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
190 : 1, 2, 5, 10, 19, 38, 95, 190
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,396,190,968,227, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
396:2x 2x 3x 3x 11
190:2x 5x 19
968:2x 2x 2x 11x 11
227:227
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 2529539305920/(1x792)
LCM = 2529539305920/792
LCM = 3193862760
Thus, we can understand that the LCM of 153,396,190,968,227 is 3193862760.
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FAQs on LCM of 153, 396, 190, 968, 227
1. What is the LCM of 153, 396, 190, 968, 227?
Answer: LCM of 153, 396, 190, 968, 227 is 3193862760.
2. How to calculate the LCM of 153, 396, 190, 968, 227?
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 153, 396, 190, 968, 227.
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}.