Find the LCM of 909, 489, 269 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, 489, 269. So, keep reading to learn more.
Given numbers are 909,489,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,489,269 is 39856923.
Find LCM of 909,489,269 with Prime Factorization
3 | 909, 489, 269 |
303, 163, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 303 x 163 x 269 = 39856923
Therefore, the lowest common multiple of 909,489,269 is 39856923.
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 489 x 269 = 119570769
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
489 : 1, 3, 163, 489
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,489,269, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
489:3x 163
269:269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 119570769/(1x3)
LCM = 119570769/3
LCM = 39856923
Thus, we can understand that the LCM of 909,489,269 is 39856923.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 489, 269?
Answer: LCM of 909, 489, 269 is 39856923.
2. How to calculate the LCM of 909, 489, 269?
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, 489, 269.
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}.