Find the LCM of 444, 425, 612, 521, 218 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 444, 425, 612, 521, 218. So, keep reading to learn more.
Given numbers are 444,425,612,521,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,425,612,521,218 is 32148252900.
Find LCM of 444,425,612,521,218 with Prime Factorization
2 | 444, 425, 612, 521, 218 |
2 | 222, 425, 306, 521, 109 |
3 | 111, 425, 153, 521, 109 |
17 | 37, 425, 51, 521, 109 |
37, 25, 3, 521, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 37 x 25 x 3 x 521 x 109 = 32148252900
Therefore, the lowest common multiple of 444,425,612,521,218 is 32148252900.
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.
444 x 425 x 612 x 521 x 218 = 13116487183200
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
425 : 1, 5, 17, 25, 85, 425
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
521 : 1, 521
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,425,612,521,218, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
425:5x 5x 17
612:2x 2x 3x 3x 17
521:521
218:2x 109
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 2x 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 13116487183200/(1x408)
LCM = 13116487183200/408
LCM = 32148252900
Thus, we can understand that the LCM of 444,425,612,521,218 is 32148252900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 444, 425, 612, 521, 218?
Answer: LCM of 444, 425, 612, 521, 218 is 32148252900.
2. How to calculate the LCM of 444, 425, 612, 521, 218?
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 444, 425, 612, 521, 218.
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}.