Find the LCM of 431, 713, 163, 326, 489 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, 713, 163, 326, 489. So, keep reading to learn more.
Given numbers are 431,713,163,326,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,713,163,326,489 is 300542334.
Find LCM of 431,713,163,326,489 with Prime Factorization
163 | 431, 713, 163, 326, 489 |
431, 713, 1, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
163 x 431 x 713 x 1 x 2 x 3 = 300542334
Therefore, the lowest common multiple of 431,713,163,326,489 is 300542334.
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 713 x 163 x 326 x 489 = 7985109272046
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
713 : 1, 23, 31, 713
163 : 1, 163
326 : 1, 2, 163, 326
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,713,163,326,489, is 1.
Now, the common factors can be found like this.
431:431
713:23x 31
163:163
326:2x 163
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
163x 163 = 26569
Therefore, the value for common factors is 26569.
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 = 7985109272046/(1x26569)
LCM = 7985109272046/26569
LCM = 300542334
Thus, we can understand that the LCM of 431,713,163,326,489 is 300542334.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 713, 163, 326, 489?
Answer: LCM of 431, 713, 163, 326, 489 is 300542334.
2. How to calculate the LCM of 431, 713, 163, 326, 489?
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, 713, 163, 326, 489.
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}.