LCM of 431, 909, 522, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 909, 522, 644 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 431, 909, 522, 644. So, keep reading to learn more.
Given numbers are 431,909,522,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,909,522,644 is 7316864604.
Find LCM of 431,909,522,644 with Prime Factorization
| 2 | 431, 909, 522, 644 |
| 3 | 431, 909, 261, 322 |
| 3 | 431, 303, 87, 322 |
| 431, 101, 29, 322 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 431 x 101 x 29 x 322 = 7316864604
Therefore, the lowest common multiple of 431,909,522,644 is 7316864604.
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.
431 x 909 x 522 x 644 = 131703562872
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.
431 : 1, 431
909 : 1, 3, 9, 101, 303, 909
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,909,522,644, is 1.
Now, the common factors can be found like this.
431:431
909:3x 3x 101
522:2x 3x 3x 29
644:2x 2x 7x 23
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 3 = 18
Therefore, the value for common factors is 18.
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 = 131703562872/(1x18)
LCM = 131703562872/18
LCM = 7316864604
Thus, we can understand that the LCM of 431,909,522,644 is 7316864604.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 431, 909, 522, 644
1. What is the LCM of 431, 909, 522, 644?
Answer: LCM of 431, 909, 522, 644 is 7316864604.
2. How to calculate the LCM of 431, 909, 522, 644?
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 431, 909, 522, 644.
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}.