Find the LCM of 481, 973, 735, 361, 433 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 481, 973, 735, 361, 433. So, keep reading to learn more.
Given numbers are 481,973,735,361,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,973,735,361,433 is 7681434187245.
Find LCM of 481,973,735,361,433 with Prime Factorization
7 | 481, 973, 735, 361, 433 |
481, 139, 105, 361, 433 |
Multiply the prime numbers at the bottom and the left side.
7 x 481 x 139 x 105 x 361 x 433 = 7681434187245
Therefore, the lowest common multiple of 481,973,735,361,433 is 7681434187245.
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.
481 x 973 x 735 x 361 x 433 = 53770039310715
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.
481 : 1, 13, 37, 481
973 : 1, 7, 139, 973
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
361 : 1, 19, 361
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,973,735,361,433, is 1.
Now, the common factors can be found like this.
481:13x 37
973:7x 139
735:3x 5x 7x 7
361:19x 19
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 53770039310715/(1x7)
LCM = 53770039310715/7
LCM = 7681434187245
Thus, we can understand that the LCM of 481,973,735,361,433 is 7681434187245.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 973, 735, 361, 433?
Answer: LCM of 481, 973, 735, 361, 433 is 7681434187245.
2. How to calculate the LCM of 481, 973, 735, 361, 433?
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 481, 973, 735, 361, 433.
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}.