Find the LCM of 438, 523, 523 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 438, 523, 523. So, keep reading to learn more.
Given numbers are 438,523,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,523,523 is 229074.
Find LCM of 438,523,523 with Prime Factorization
523 | 438, 523, 523 |
438, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
523 x 438 x 1 x 1 = 229074
Therefore, the lowest common multiple of 438,523,523 is 229074.
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.
438 x 523 x 523 = 119805702
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
523 : 1, 523
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,523,523, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
523:523
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
523 = 523
Therefore, the value for common factors is 523.
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 = 119805702/(1x523)
LCM = 119805702/523
LCM = 229074
Thus, we can understand that the LCM of 438,523,523 is 229074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 438, 523, 523?
Answer: LCM of 438, 523, 523 is 229074.
2. How to calculate the LCM of 438, 523, 523?
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 438, 523, 523.
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}.