LCM of 909, 261, 303, 899, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 261, 303, 899, 400 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 909, 261, 303, 899, 400. So, keep reading to learn more.
Given numbers are 909,261,303,899,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,261,303,899,400 is 326876400.
Find LCM of 909,261,303,899,400 with Prime Factorization
| 3 | 909, 261, 303, 899, 400 |
| 3 | 303, 87, 101, 899, 400 |
| 29 | 101, 29, 101, 899, 400 |
| 101 | 101, 1, 101, 31, 400 |
| 1, 1, 1, 31, 400 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 101 x 1 x 1 x 1 x 31 x 400 = 326876400
Therefore, the lowest common multiple of 909,261,303,899,400 is 326876400.
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.
909 x 261 x 303 x 899 x 400 = 25850366341200
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.
909 : 1, 3, 9, 101, 303, 909
261 : 1, 3, 9, 29, 87, 261
303 : 1, 3, 101, 303
899 : 1, 29, 31, 899
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,261,303,899,400, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
261:3x 3x 29
303:3x 101
899:29x 31
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 29x 101 = 79083
Therefore, the value for common factors is 79083.
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 = 25850366341200/(1x79083)
LCM = 25850366341200/79083
LCM = 326876400
Thus, we can understand that the LCM of 909,261,303,899,400 is 326876400.
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FAQs on LCM of 909, 261, 303, 899, 400
1. What is the LCM of 909, 261, 303, 899, 400?
Answer: LCM of 909, 261, 303, 899, 400 is 326876400.
2. How to calculate the LCM of 909, 261, 303, 899, 400?
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 909, 261, 303, 899, 400.
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}.