Find the LCM of 326, 522, 225, 113, 466 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 326, 522, 225, 113, 466. So, keep reading to learn more.
Given numbers are 326,522,225,113,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,522,225,113,466 is 56005732350.
Find LCM of 326,522,225,113,466 with Prime Factorization
2 | 326, 522, 225, 113, 466 |
3 | 163, 261, 225, 113, 233 |
3 | 163, 87, 75, 113, 233 |
163, 29, 25, 113, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 163 x 29 x 25 x 113 x 233 = 56005732350
Therefore, the lowest common multiple of 326,522,225,113,466 is 56005732350.
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.
326 x 522 x 225 x 113 x 466 = 2016206364600
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.
326 : 1, 2, 163, 326
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
113 : 1, 113
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,522,225,113,466, is 1.
Now, the common factors can be found like this.
326:2x 163
522:2x 3x 3x 29
225:3x 3x 5x 5
113:113
466:2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 2016206364600/(1x36)
LCM = 2016206364600/36
LCM = 56005732350
Thus, we can understand that the LCM of 326,522,225,113,466 is 56005732350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 326, 522, 225, 113, 466?
Answer: LCM of 326, 522, 225, 113, 466 is 56005732350.
2. How to calculate the LCM of 326, 522, 225, 113, 466?
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 326, 522, 225, 113, 466.
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}.