Find the LCM of 394, 701, 436, 973, 521 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 394, 701, 436, 973, 521. So, keep reading to learn more.
Given numbers are 394,701,436,973,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,701,436,973,521 is 30522583954436.
Find LCM of 394,701,436,973,521 with Prime Factorization
2 | 394, 701, 436, 973, 521 |
197, 701, 218, 973, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 701 x 218 x 973 x 521 = 30522583954436
Therefore, the lowest common multiple of 394,701,436,973,521 is 30522583954436.
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.
394 x 701 x 436 x 973 x 521 = 61045167908872
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.
394 : 1, 2, 197, 394
701 : 1, 701
436 : 1, 2, 4, 109, 218, 436
973 : 1, 7, 139, 973
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,701,436,973,521, is 1.
Now, the common factors can be found like this.
394:2x 197
701:701
436:2x 2x 109
973:7x 139
521:521
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 61045167908872/(1x2)
LCM = 61045167908872/2
LCM = 30522583954436
Thus, we can understand that the LCM of 394,701,436,973,521 is 30522583954436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 701, 436, 973, 521?
Answer: LCM of 394, 701, 436, 973, 521 is 30522583954436.
2. How to calculate the LCM of 394, 701, 436, 973, 521?
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 394, 701, 436, 973, 521.
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}.