Find the LCM of 489, 23, 437 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 489, 23, 437. So, keep reading to learn more.
Given numbers are 489,23,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,23,437 is 213693.
Find LCM of 489,23,437 with Prime Factorization
23 | 489, 23, 437 |
489, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
23 x 489 x 1 x 19 = 213693
Therefore, the lowest common multiple of 489,23,437 is 213693.
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.
489 x 23 x 437 = 4914939
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.
489 : 1, 3, 163, 489
23 : 1, 23
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,23,437, is 1.
Now, the common factors can be found like this.
489:3x 163
23:23
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 4914939/(1x23)
LCM = 4914939/23
LCM = 213693
Thus, we can understand that the LCM of 489,23,437 is 213693.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 23, 437?
Answer: LCM of 489, 23, 437 is 213693.
2. How to calculate the LCM of 489, 23, 437?
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 489, 23, 437.
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}.