LCM of 454, 909, 231, 726, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 909, 231, 726, 159 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 454, 909, 231, 726, 159. So, keep reading to learn more.
Given numbers are 454,909,231,726,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,909,231,726,159 is 18525887226.
Find LCM of 454,909,231,726,159 with Prime Factorization
| 2 | 454, 909, 231, 726, 159 |
| 3 | 227, 909, 231, 363, 159 |
| 11 | 227, 303, 77, 121, 53 |
| 227, 303, 7, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 227 x 303 x 7 x 11 x 53 = 18525887226
Therefore, the lowest common multiple of 454,909,231,726,159 is 18525887226.
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.
454 x 909 x 231 x 726 x 159 = 11004377012244
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.
454 : 1, 2, 227, 454
909 : 1, 3, 9, 101, 303, 909
231 : 1, 3, 7, 11, 21, 33, 77, 231
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,909,231,726,159, is 1.
Now, the common factors can be found like this.
454:2x 227
909:3x 3x 101
231:3x 7x 11
726:2x 3x 11x 11
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 11004377012244/(1x594)
LCM = 11004377012244/594
LCM = 18525887226
Thus, we can understand that the LCM of 454,909,231,726,159 is 18525887226.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 909, 231, 726, 159
1. What is the LCM of 454, 909, 231, 726, 159?
Answer: LCM of 454, 909, 231, 726, 159 is 18525887226.
2. How to calculate the LCM of 454, 909, 231, 726, 159?
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 454, 909, 231, 726, 159.
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}.