Find the LCM of 446, 322, 529, 973 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 446, 322, 529, 973. So, keep reading to learn more.
Given numbers are 446,322,529,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,322,529,973 is 229563782.
Find LCM of 446,322,529,973 with Prime Factorization
2 | 446, 322, 529, 973 |
7 | 223, 161, 529, 973 |
23 | 223, 23, 529, 139 |
223, 1, 23, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 223 x 1 x 23 x 139 = 229563782
Therefore, the lowest common multiple of 446,322,529,973 is 229563782.
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.
446 x 322 x 529 x 973 = 73919537804
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.
446 : 1, 2, 223, 446
322 : 1, 2, 7, 14, 23, 46, 161, 322
529 : 1, 23, 529
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,322,529,973, is 1.
Now, the common factors can be found like this.
446:2x 223
322:2x 7x 23
529:23x 23
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 73919537804/(1x322)
LCM = 73919537804/322
LCM = 229563782
Thus, we can understand that the LCM of 446,322,529,973 is 229563782.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 446, 322, 529, 973?
Answer: LCM of 446, 322, 529, 973 is 229563782.
2. How to calculate the LCM of 446, 322, 529, 973?
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 446, 322, 529, 973.
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}.